---
_id: '14499'
abstract:
- lang: eng
text: "An n-vertex graph is called C-Ramsey if it has no clique or independent set
of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper,
we study edge statistics in Ramsey graphs, in particular obtaining very precise
control of the distribution of the number of edges in a random vertex subset of
a C-Ramsey graph. This brings together two ongoing lines of research: the study
of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability
for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds
via an ‘additive structure’ dichotomy on the degree sequence and involves a wide
range of different tools from Fourier analysis, random matrix theory, the theory
of Boolean functions, probabilistic combinatorics and low-rank approximation.
In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright
theorem on small-ball probability for polynomials of Gaussians, which we believe
is of independent interest. One of the consequences of our result is the resolution
of an old conjecture of Erdős and McKay, for which Erdős reiterated in several
of his open problem collections and for which he offered one of his notorious
monetary prizes."
acknowledgement: Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’
No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship
Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was
supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research
Fellowship.
article_number: e21
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Ashwin
full_name: Sah, Ashwin
last_name: Sah
- first_name: Lisa
full_name: Sauermann, Lisa
last_name: Sauermann
- first_name: Mehtaab
full_name: Sawhney, Mehtaab
last_name: Sawhney
citation:
ama: Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs
and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 2023;11.
doi:10.1017/fmp.2023.17
apa: Kwan, M. A., Sah, A., Sauermann, L., & Sawhney, M. (2023). Anticoncentration
in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics,
Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2023.17
chicago: Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration
in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics,
Pi. Cambridge University Press, 2023. https://doi.org/10.1017/fmp.2023.17.
ieee: M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey
graphs and a proof of the Erdős–McKay conjecture,” Forum of Mathematics, Pi,
vol. 11. Cambridge University Press, 2023.
ista: Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey
graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11,
e21.
mla: Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof
of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi, vol. 11, e21,
Cambridge University Press, 2023, doi:10.1017/fmp.2023.17.
short: M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11
(2023).
date_created: 2023-11-07T09:02:48Z
date_published: 2023-08-24T00:00:00Z
date_updated: 2023-11-07T09:18:57Z
day: '24'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1017/fmp.2023.17
external_id:
arxiv:
- '2208.02874'
file:
- access_level: open_access
checksum: 54b824098d59073cc87a308d458b0a3e
content_type: application/pdf
creator: dernst
date_created: 2023-11-07T09:16:23Z
date_updated: 2023-11-07T09:16:23Z
file_id: '14500'
file_name: 2023_ForumMathematics_Kwan.pdf
file_size: 1218719
relation: main_file
success: 1
file_date_updated: 2023-11-07T09:16:23Z
has_accepted_license: '1'
intvolume: ' 11'
keyword:
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Analysis
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
grant_number: '101076777'
name: Randomness and structure in combinatorics
publication: Forum of Mathematics, Pi
publication_identifier:
issn:
- 2050-5086
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2023'
...
---
_id: '12406'
abstract:
- lang: eng
text: Let X be a sufficiently large positive integer. We prove that one may choose
a subset S of primes with cardinality O(logX) such that a positive proportion
of integers less than X can be represented by x2+py2 for at least one p∈S.
acknowledgement: "This article is a version the author’s master thesis at the University
of Bonn. The author would like to thank his advisor Valentin Blomer for introducing
the problem, and giving generous feedback and encouragement along the way, especially
during the global pandemic.\r\nThe author thanks Edgar Assing for his lectures on
analytic number theory. Finally, the author is grateful to the anonymous referees
for their valuable time and comments.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yijie
full_name: Diao, Yijie
id: 7b7eb4ca-eb2c-11ec-b98b-accec0b20c3b
last_name: Diao
orcid: 0000-0002-4989-5330
citation:
ama: Diao Y. Density of the union of positive diagonal binary quadratic forms. Acta
Arithmetica. 2023;207:1-17. doi:10.4064/aa210830-24-11
apa: Diao, Y. (2023). Density of the union of positive diagonal binary quadratic
forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa210830-24-11
chicago: Diao, Yijie. “Density of the Union of Positive Diagonal Binary Quadratic
Forms.” Acta Arithmetica. Instytut Matematyczny, 2023. https://doi.org/10.4064/aa210830-24-11.
ieee: Y. Diao, “Density of the union of positive diagonal binary quadratic forms,”
Acta Arithmetica, vol. 207. Instytut Matematyczny, pp. 1–17, 2023.
ista: Diao Y. 2023. Density of the union of positive diagonal binary quadratic forms.
Acta Arithmetica. 207, 1–17.
mla: Diao, Yijie. “Density of the Union of Positive Diagonal Binary Quadratic Forms.”
Acta Arithmetica, vol. 207, Instytut Matematyczny, 2023, pp. 1–17, doi:10.4064/aa210830-24-11.
short: Y. Diao, Acta Arithmetica 207 (2023) 1–17.
date_created: 2023-01-26T21:17:04Z
date_published: 2023-01-09T00:00:00Z
date_updated: 2023-10-17T09:15:17Z
day: '09'
department:
- _id: GradSch
doi: 10.4064/aa210830-24-11
external_id:
arxiv:
- '2103.08268'
isi:
- '000912903000001'
intvolume: ' 207'
isi: 1
keyword:
- Algebra
- Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2103.08268
month: '01'
oa: 1
oa_version: Preprint
page: 1-17
publication: Acta Arithmetica
publication_identifier:
eissn:
- 1730-6264
issn:
- 0065-1036
publication_status: published
publisher: Instytut Matematyczny
quality_controlled: '1'
status: public
title: Density of the union of positive diagonal binary quadratic forms
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 207
year: '2023'
...
---
_id: '11135'
abstract:
- lang: eng
text: We consider a correlated NxN Hermitian random matrix with a polynomially decaying
metric correlation structure. By calculating the trace of the moments of the matrix
and using the summable decay of the cumulants, we show that its operator norm
is stochastically dominated by one.
article_number: '2250036'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jana
full_name: Reker, Jana
id: e796e4f9-dc8d-11ea-abe3-97e26a0323e9
last_name: Reker
citation:
ama: 'Reker J. On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. 2022;11(4). doi:10.1142/s2010326322500368'
apa: 'Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. World Scientific. https://doi.org/10.1142/s2010326322500368'
chicago: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated
Entries.” Random Matrices: Theory and Applications. World Scientific, 2022.
https://doi.org/10.1142/s2010326322500368.'
ieee: 'J. Reker, “On the operator norm of a Hermitian random matrix with correlated
entries,” Random Matrices: Theory and Applications, vol. 11, no. 4. World
Scientific, 2022.'
ista: 'Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. 11(4), 2250036.'
mla: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated
Entries.” Random Matrices: Theory and Applications, vol. 11, no. 4, 2250036,
World Scientific, 2022, doi:10.1142/s2010326322500368.'
short: 'J. Reker, Random Matrices: Theory and Applications 11 (2022).'
date_created: 2022-04-08T07:11:12Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2023-08-03T06:32:22Z
day: '01'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1142/s2010326322500368
external_id:
arxiv:
- '2103.03906'
isi:
- '000848873800001'
intvolume: ' 11'
isi: 1
issue: '4'
keyword:
- Discrete Mathematics and Combinatorics
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2103.03906'
month: '10'
oa: 1
oa_version: Preprint
publication: 'Random Matrices: Theory and Applications'
publication_identifier:
eissn:
- 2010-3271
issn:
- 2010-3263
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the operator norm of a Hermitian random matrix with correlated entries
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2022'
...
---
_id: '11545'
abstract:
- lang: eng
text: "We classify contravariant pairings between standard Whittaker modules and
Verma modules over a complex semisimple Lie algebra. These contravariant pairings
are useful in extending several classical techniques for category O to the Miličić–Soergel
category N . We introduce a class of costandard modules which generalize dual
Verma modules, and describe canonical maps from standard to costandard modules
in terms of contravariant pairings.\r\nWe show that costandard modules have unique
irreducible submodules and share the same composition factors as the corresponding
standard Whittaker modules. We show that costandard modules give an algebraic
characterization of the global sections of costandard twisted Harish-Chandra sheaves
on the associated flag variety, which are defined using holonomic duality of D-modules.
We prove that with these costandard modules, blocks of category\r\nN have the
structure of highest weight categories and we establish a BGG reciprocity theorem
for N ."
acknowledgement: We thank Catharina Stroppel and Jens Niklas Eberhardt for interesting
discussions. The first author acknowledges the support of the European Union's Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
No. 754411. The second author is supported by the National Science Foundation Award
No. 1803059 and the Australian Research Council grant DP170101579.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant pairings between standard Whittaker modules
and Verma modules. Journal of Algebra. 2022;609(11):145-179. doi:10.1016/j.jalgebra.2022.06.017
apa: Brown, A., & Romanov, A. (2022). Contravariant pairings between standard
Whittaker modules and Verma modules. Journal of Algebra. Elsevier. https://doi.org/10.1016/j.jalgebra.2022.06.017
chicago: Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard
Whittaker Modules and Verma Modules.” Journal of Algebra. Elsevier, 2022.
https://doi.org/10.1016/j.jalgebra.2022.06.017.
ieee: A. Brown and A. Romanov, “Contravariant pairings between standard Whittaker
modules and Verma modules,” Journal of Algebra, vol. 609, no. 11. Elsevier,
pp. 145–179, 2022.
ista: Brown A, Romanov A. 2022. Contravariant pairings between standard Whittaker
modules and Verma modules. Journal of Algebra. 609(11), 145–179.
mla: Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard Whittaker
Modules and Verma Modules.” Journal of Algebra, vol. 609, no. 11, Elsevier,
2022, pp. 145–79, doi:10.1016/j.jalgebra.2022.06.017.
short: A. Brown, A. Romanov, Journal of Algebra 609 (2022) 145–179.
date_created: 2022-07-08T11:40:07Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2023-08-03T11:56:30Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1016/j.jalgebra.2022.06.017
ec_funded: 1
external_id:
isi:
- '000861841100004'
file:
- access_level: open_access
checksum: 82abaee3d7837f703e499a9ecbb25b7c
content_type: application/pdf
creator: dernst
date_created: 2023-02-02T07:32:48Z
date_updated: 2023-02-02T07:32:48Z
file_id: '12473'
file_name: 2022_JournalAlgebra_Brown.pdf
file_size: 582962
relation: main_file
success: 1
file_date_updated: 2023-02-02T07:32:48Z
has_accepted_license: '1'
intvolume: ' 609'
isi: 1
issue: '11'
keyword:
- Algebra and Number Theory
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 145-179
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Algebra
publication_identifier:
issn:
- 0021-8693
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Contravariant pairings between standard Whittaker modules and Verma modules
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 609
year: '2022'
...
---
_id: '10643'
abstract:
- lang: eng
text: "We prove a generalised super-adiabatic theorem for extended fermionic systems
assuming a spectral gap only in the bulk. More precisely, we assume that the infinite
system has a unique ground state and that the corresponding Gelfand–Naimark–Segal
Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that
a similar adiabatic theorem also holds in the bulk of finite systems up to errors
that vanish faster than any inverse power of the system size, although the corresponding
finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n"
acknowledgement: J.H. acknowledges partial financial support by the ERC Advanced Grant
‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft
and the Open Access Publishing Fund of the University of Tübingen is gratefully
acknowledged.
article_number: e4
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Stefan
full_name: Teufel, Stefan
last_name: Teufel
citation:
ama: 'Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems
with a gap in the bulk. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2021.80'
apa: 'Henheik, S. J., & Teufel, S. (2022). Adiabatic theorem in the thermodynamic
limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. Cambridge
University Press. https://doi.org/10.1017/fms.2021.80'
chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2021.80.'
ieee: 'S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit:
Systems with a gap in the bulk,” Forum of Mathematics, Sigma, vol. 10.
Cambridge University Press, 2022.'
ista: 'Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit:
Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.'
mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma, vol.
10, e4, Cambridge University Press, 2022, doi:10.1017/fms.2021.80.'
short: S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
date_created: 2022-01-18T16:18:51Z
date_published: 2022-01-18T00:00:00Z
date_updated: 2023-08-02T13:53:11Z
day: '18'
ddc:
- '510'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1017/fms.2021.80
ec_funded: 1
external_id:
arxiv:
- '2012.15239'
isi:
- '000743615000001'
file:
- access_level: open_access
checksum: 87592a755adcef22ea590a99dc728dd3
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-19T09:27:43Z
date_updated: 2022-01-19T09:27:43Z
file_id: '10646'
file_name: 2022_ForumMathSigma_Henheik.pdf
file_size: 705323
relation: main_file
success: 1
file_date_updated: 2022-01-19T09:27:43Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- computational mathematics
- discrete mathematics and combinatorics
- geometry and topology
- mathematical physics
- statistics and probability
- algebra and number theory
- theoretical computer science
- analysis
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
status: public
title: 'Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2022'
...
---
_id: '11916'
abstract:
- lang: eng
text: A domain is called Kac regular for a quadratic form on L2 if every functions
vanishing almost everywhere outside the domain can be approximated in form norm
by functions with compact support in the domain. It is shown that this notion
is stable under domination of quadratic forms. As applications measure perturbations
of quasi-regular Dirichlet forms, Cheeger energies on metric measure spaces and
Schrödinger operators on manifolds are studied. Along the way a characterization
of the Sobolev space with Dirichlet boundary conditions on domains in infinitesimally
Riemannian metric measure spaces is obtained.
acknowledgement: "The author was supported by the German Academic Scholarship Foundation
(Studienstiftung des deutschen Volkes) and by the German Research Foundation (DFG)
via RTG 1523/2. The author would like to thank Daniel Lenz for his support and encouragement
during the author’s ongoing graduate studies and him as well as Marcel Schmidt for
fruitful discussions on domination of quadratic forms. He wants to thank Batu Güneysu
and Peter Stollmann for valuable comments on a preliminary version of this article.
He would also like to thank the organizers of the conference Analysis and Geometry
on Graphs and Manifolds in Potsdam, where the initial motivation of this article
was conceived, and the organizers of the intense activity period Metric Measure
Spaces and Ricci Curvature at MPIM in Bonn, where this work was finished.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria)."
article_number: '38'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Melchior
full_name: Wirth, Melchior
id: 88644358-0A0E-11EA-8FA5-49A33DDC885E
last_name: Wirth
orcid: 0000-0002-0519-4241
citation:
ama: Wirth M. Kac regularity and domination of quadratic forms. Advances in Operator
Theory. 2022;7(3). doi:10.1007/s43036-022-00199-w
apa: Wirth, M. (2022). Kac regularity and domination of quadratic forms. Advances
in Operator Theory. Springer Nature. https://doi.org/10.1007/s43036-022-00199-w
chicago: Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances
in Operator Theory. Springer Nature, 2022. https://doi.org/10.1007/s43036-022-00199-w.
ieee: M. Wirth, “Kac regularity and domination of quadratic forms,” Advances
in Operator Theory, vol. 7, no. 3. Springer Nature, 2022.
ista: Wirth M. 2022. Kac regularity and domination of quadratic forms. Advances
in Operator Theory. 7(3), 38.
mla: Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances
in Operator Theory, vol. 7, no. 3, 38, Springer Nature, 2022, doi:10.1007/s43036-022-00199-w.
short: M. Wirth, Advances in Operator Theory 7 (2022).
date_created: 2022-08-18T07:22:24Z
date_published: 2022-07-01T00:00:00Z
date_updated: 2023-02-21T10:08:07Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s43036-022-00199-w
file:
- access_level: open_access
checksum: 913474844a1b38264fb710746d5e2e98
content_type: application/pdf
creator: dernst
date_created: 2022-08-18T08:02:34Z
date_updated: 2022-08-18T08:02:34Z
file_id: '11921'
file_name: 2022_AdvancesOperatorTheory_Wirth.pdf
file_size: 389060
relation: main_file
success: 1
file_date_updated: 2022-08-18T08:02:34Z
has_accepted_license: '1'
intvolume: ' 7'
issue: '3'
keyword:
- Algebra and Number Theory
- Analysis
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: Advances in Operator Theory
publication_identifier:
eissn:
- 2538-225X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Kac regularity and domination of quadratic forms
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2022'
...
---
_id: '12148'
abstract:
- lang: eng
text: 'We prove a general local law for Wigner matrices that optimally handles observables
of arbitrary rank and thus unifies the well-known averaged and isotropic local
laws. As an application, we prove a central limit theorem in quantum unique ergodicity
(QUE): that is, we show that the quadratic forms of a general deterministic matrix
A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation.
For the bulk spectrum, we thus generalise our previous result [17] as valid for
test matrices A of large rank as well as the result of Benigni and Lopatto [7]
as valid for specific small-rank observables.'
acknowledgement: L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331.
D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation
and the ETH Zürich Foundation.
article_number: e96
article_processing_charge: No
article_type: original
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices.
Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Rank-uniform local
law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2022.86
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform
Local Law for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2022.86.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner
matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press,
2022.
ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner
matrices. Forum of Mathematics, Sigma. 10, e96.
mla: Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” Forum
of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
date_created: 2023-01-12T12:07:30Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2023-08-04T09:00:35Z
day: '27'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1017/fms.2022.86
ec_funded: 1
external_id:
isi:
- '000873719200001'
file:
- access_level: open_access
checksum: 94a049aeb1eea5497aa097712a73c400
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T10:02:40Z
date_updated: 2023-01-24T10:02:40Z
file_id: '12356'
file_name: 2022_ForumMath_Cipolloni.pdf
file_size: 817089
relation: main_file
success: 1
file_date_updated: 2023-01-24T10:02:40Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Theoretical Computer Science
- Analysis
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Rank-uniform local law for Wigner matrices
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2022'
...
---
_id: '12216'
abstract:
- lang: eng
text: Many trace inequalities can be expressed either as concavity/convexity theorems
or as monotonicity theorems. A classic example is the joint convexity of the quantum
relative entropy which is equivalent to the Data Processing Inequality. The latter
says that quantum operations can never increase the relative entropy. The monotonicity
versions often have many advantages, and often have direct physical application,
as in the example just mentioned. Moreover, the monotonicity results are often
valid for a larger class of maps than, say, quantum operations (which are completely
positive). In this paper we prove several new monotonicity results, the first
of which is a monotonicity theorem that has as a simple corollary a celebrated
concavity theorem of Epstein. Our starting points are the monotonicity versions
of the Lieb Concavity and the Lieb Convexity Theorems. We also give two new proofs
of these in their general forms using interpolation. We then prove our new monotonicity
theorems by several duality arguments.
acknowledgement: Work partially supported by the Lise Meitner fellowship, Austrian
Science Fund (FWF) M3337.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Eric A.
full_name: Carlen, Eric A.
last_name: Carlen
- first_name: Haonan
full_name: Zhang, Haonan
id: D8F41E38-9E66-11E9-A9E2-65C2E5697425
last_name: Zhang
citation:
ama: Carlen EA, Zhang H. Monotonicity versions of Epstein’s concavity theorem and
related inequalities. Linear Algebra and its Applications. 2022;654:289-310.
doi:10.1016/j.laa.2022.09.001
apa: Carlen, E. A., & Zhang, H. (2022). Monotonicity versions of Epstein’s concavity
theorem and related inequalities. Linear Algebra and Its Applications.
Elsevier. https://doi.org/10.1016/j.laa.2022.09.001
chicago: Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s
Concavity Theorem and Related Inequalities.” Linear Algebra and Its Applications.
Elsevier, 2022. https://doi.org/10.1016/j.laa.2022.09.001.
ieee: E. A. Carlen and H. Zhang, “Monotonicity versions of Epstein’s concavity theorem
and related inequalities,” Linear Algebra and its Applications, vol. 654.
Elsevier, pp. 289–310, 2022.
ista: Carlen EA, Zhang H. 2022. Monotonicity versions of Epstein’s concavity theorem
and related inequalities. Linear Algebra and its Applications. 654, 289–310.
mla: Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity
Theorem and Related Inequalities.” Linear Algebra and Its Applications,
vol. 654, Elsevier, 2022, pp. 289–310, doi:10.1016/j.laa.2022.09.001.
short: E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.
date_created: 2023-01-16T09:46:38Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2023-08-04T09:24:51Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1016/j.laa.2022.09.001
external_id:
isi:
- '000860689600014'
file:
- access_level: open_access
checksum: cf3cb7e7e34baa967849f01d8f0c1ae4
content_type: application/pdf
creator: dernst
date_created: 2023-01-27T08:08:39Z
date_updated: 2023-01-27T08:08:39Z
file_id: '12415'
file_name: 2022_LinearAlgebra_Carlen.pdf
file_size: 441184
relation: main_file
success: 1
file_date_updated: 2023-01-27T08:08:39Z
has_accepted_license: '1'
intvolume: ' 654'
isi: 1
keyword:
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Numerical Analysis
- Algebra and Number Theory
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 289-310
project:
- _id: eb958bca-77a9-11ec-83b8-c565cb50d8d6
grant_number: M03337
name: Curvature-dimension in noncommutative analysis
publication: Linear Algebra and its Applications
publication_identifier:
issn:
- 0024-3795
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Monotonicity versions of Epstein's concavity theorem and related inequalities
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 654
year: '2022'
...
---
_id: '10711'
abstract:
- lang: eng
text: In this paper, we investigate the distribution of the maximum of partial sums
of families of m -periodic complex-valued functions satisfying certain conditions.
We obtain precise uniform estimates for the distribution function of this maximum
in a near-optimal range. Our results apply to partial sums of Kloosterman sums
and other families of ℓ -adic trace functions, and are as strong as those obtained
by Bober, Goldmakher, Granville and Koukoulopoulos for character sums. In particular,
we improve on the recent work of the third author for Birch sums. However, unlike
character sums, we are able to construct families of m -periodic complex-valued
functions which satisfy our conditions, but for which the Pólya–Vinogradov inequality
is sharp.
acknowledgement: We would like to thank the anonymous referees for carefully reading
the paper and for their remarks and suggestions.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pascal
full_name: Autissier, Pascal
last_name: Autissier
- first_name: Dante
full_name: Bonolis, Dante
id: 6A459894-5FDD-11E9-AF35-BB24E6697425
last_name: Bonolis
- first_name: Youness
full_name: Lamzouri, Youness
last_name: Lamzouri
citation:
ama: Autissier P, Bonolis D, Lamzouri Y. The distribution of the maximum of partial
sums of Kloosterman sums and other trace functions. Compositio Mathematica.
2021;157(7):1610-1651. doi:10.1112/s0010437x21007351
apa: Autissier, P., Bonolis, D., & Lamzouri, Y. (2021). The distribution of
the maximum of partial sums of Kloosterman sums and other trace functions. Compositio
Mathematica. Cambridge University Press. https://doi.org/10.1112/s0010437x21007351
chicago: Autissier, Pascal, Dante Bonolis, and Youness Lamzouri. “The Distribution
of the Maximum of Partial Sums of Kloosterman Sums and Other Trace Functions.”
Compositio Mathematica. Cambridge University Press, 2021. https://doi.org/10.1112/s0010437x21007351.
ieee: P. Autissier, D. Bonolis, and Y. Lamzouri, “The distribution of the maximum
of partial sums of Kloosterman sums and other trace functions,” Compositio
Mathematica, vol. 157, no. 7. Cambridge University Press, pp. 1610–1651, 2021.
ista: Autissier P, Bonolis D, Lamzouri Y. 2021. The distribution of the maximum
of partial sums of Kloosterman sums and other trace functions. Compositio Mathematica.
157(7), 1610–1651.
mla: Autissier, Pascal, et al. “The Distribution of the Maximum of Partial Sums
of Kloosterman Sums and Other Trace Functions.” Compositio Mathematica,
vol. 157, no. 7, Cambridge University Press, 2021, pp. 1610–51, doi:10.1112/s0010437x21007351.
short: P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021)
1610–1651.
date_created: 2022-02-01T08:10:43Z
date_published: 2021-06-28T00:00:00Z
date_updated: 2023-08-17T06:59:16Z
day: '28'
department:
- _id: TiBr
doi: 10.1112/s0010437x21007351
external_id:
arxiv:
- '1909.03266'
isi:
- '000667289300001'
intvolume: ' 157'
isi: 1
issue: '7'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1909.03266
month: '06'
oa: 1
oa_version: Preprint
page: 1610-1651
publication: Compositio Mathematica
publication_identifier:
eissn:
- 1570-5846
issn:
- 0010-437X
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
status: public
title: The distribution of the maximum of partial sums of Kloosterman sums and other
trace functions
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 157
year: '2021'
...
---
_id: '12308'
abstract:
- lang: eng
text: Let P and Q be two points on an elliptic curve defined over a number field
K. For α∈End(E), define Bα to be the OK-integral ideal generated by the denominator
of x(α(P)+Q). Let O be a subring of End(E), that is a Dedekind domain. We will
study the sequence {Bα}α∈O. We will show that, for all but finitely many α∈O,
the ideal Bα has a primitive divisor when P is a non-torsion point and there exist
two endomorphisms g≠0 and f so that f(P)=g(Q). This is a generalization of previous
results on elliptic divisibility sequences.
article_number: '37'
article_processing_charge: No
article_type: original
author:
- first_name: Matteo
full_name: Verzobio, Matteo
id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
last_name: Verzobio
orcid: 0000-0002-0854-0306
citation:
ama: Verzobio M. Primitive divisors of sequences associated to elliptic curves with
complex multiplication. Research in Number Theory. 2021;7(2). doi:10.1007/s40993-021-00267-9
apa: Verzobio, M. (2021). Primitive divisors of sequences associated to elliptic
curves with complex multiplication. Research in Number Theory. Springer
Nature. https://doi.org/10.1007/s40993-021-00267-9
chicago: Verzobio, Matteo. “Primitive Divisors of Sequences Associated to Elliptic
Curves with Complex Multiplication.” Research in Number Theory. Springer
Nature, 2021. https://doi.org/10.1007/s40993-021-00267-9.
ieee: M. Verzobio, “Primitive divisors of sequences associated to elliptic curves
with complex multiplication,” Research in Number Theory, vol. 7, no. 2.
Springer Nature, 2021.
ista: Verzobio M. 2021. Primitive divisors of sequences associated to elliptic curves
with complex multiplication. Research in Number Theory. 7(2), 37.
mla: Verzobio, Matteo. “Primitive Divisors of Sequences Associated to Elliptic Curves
with Complex Multiplication.” Research in Number Theory, vol. 7, no. 2,
37, Springer Nature, 2021, doi:10.1007/s40993-021-00267-9.
short: M. Verzobio, Research in Number Theory 7 (2021).
date_created: 2023-01-16T11:44:39Z
date_published: 2021-05-20T00:00:00Z
date_updated: 2023-05-08T12:00:17Z
day: '20'
doi: 10.1007/s40993-021-00267-9
extern: '1'
intvolume: ' 7'
issue: '2'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s40993-021-00267-9
month: '05'
oa: 1
oa_version: Published Version
publication: Research in Number Theory
publication_identifier:
issn:
- 2522-0160
- 2363-9555
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Primitive divisors of sequences associated to elliptic curves with complex
multiplication
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2021'
...
---
_id: '12309'
abstract:
- lang: eng
text: Take a rational elliptic curve defined by the equation y2=x3+ax in minimal
form and consider the sequence Bn of the denominators of the abscissas of the
iterate of a non-torsion point. We show that B5m has a primitive divisor for every
m. Then, we show how to generalize this method to the terms of the form Bmp with
p a prime congruent to 1 modulo 4.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matteo
full_name: Verzobio, Matteo
id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
last_name: Verzobio
orcid: 0000-0002-0854-0306
citation:
ama: Verzobio M. Primitive divisors of elliptic divisibility sequences for elliptic
curves with j=1728. Acta Arithmetica. 2021;198(2):129-168. doi:10.4064/aa191016-30-7
apa: Verzobio, M. (2021). Primitive divisors of elliptic divisibility sequences
for elliptic curves with j=1728. Acta Arithmetica. Institute of Mathematics,
Polish Academy of Sciences. https://doi.org/10.4064/aa191016-30-7
chicago: Verzobio, Matteo. “Primitive Divisors of Elliptic Divisibility Sequences
for Elliptic Curves with J=1728.” Acta Arithmetica. Institute of Mathematics,
Polish Academy of Sciences, 2021. https://doi.org/10.4064/aa191016-30-7.
ieee: M. Verzobio, “Primitive divisors of elliptic divisibility sequences for elliptic
curves with j=1728,” Acta Arithmetica, vol. 198, no. 2. Institute of Mathematics,
Polish Academy of Sciences, pp. 129–168, 2021.
ista: Verzobio M. 2021. Primitive divisors of elliptic divisibility sequences for
elliptic curves with j=1728. Acta Arithmetica. 198(2), 129–168.
mla: Verzobio, Matteo. “Primitive Divisors of Elliptic Divisibility Sequences for
Elliptic Curves with J=1728.” Acta Arithmetica, vol. 198, no. 2, Institute
of Mathematics, Polish Academy of Sciences, 2021, pp. 129–68, doi:10.4064/aa191016-30-7.
short: M. Verzobio, Acta Arithmetica 198 (2021) 129–168.
date_created: 2023-01-16T11:44:54Z
date_published: 2021-01-04T00:00:00Z
date_updated: 2023-05-08T11:58:14Z
day: '04'
doi: 10.4064/aa191016-30-7
extern: '1'
external_id:
arxiv:
- '2001.09634'
intvolume: ' 198'
issue: '2'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2001.09634
month: '01'
oa: 1
oa_version: Preprint
page: 129-168
publication: Acta Arithmetica
publication_identifier:
issn:
- 0065-1036
- 1730-6264
publication_status: published
publisher: Institute of Mathematics, Polish Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Primitive divisors of elliptic divisibility sequences for elliptic curves with
j=1728
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 198
year: '2021'
...
---
_id: '12310'
abstract:
- lang: eng
text: Let be a sequence of points on an elliptic curve defined over a number field
K. In this paper, we study the denominators of the x-coordinates of this sequence.
We prove that, if Q is a torsion point of prime order, then for n large enough
there always exists a primitive divisor. Later on, we show the link between the
study of the primitive divisors and a Lang-Trotter conjecture. Indeed, given two
points P and Q on the elliptic curve, we prove a lower bound for the number of
primes p such that P is in the orbit of Q modulo p.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matteo
full_name: Verzobio, Matteo
id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
last_name: Verzobio
orcid: 0000-0002-0854-0306
citation:
ama: Verzobio M. Primitive divisors of sequences associated to elliptic curves.
Journal of Number Theory. 2020;209(4):378-390. doi:10.1016/j.jnt.2019.09.003
apa: Verzobio, M. (2020). Primitive divisors of sequences associated to elliptic
curves. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2019.09.003
chicago: Verzobio, Matteo. “Primitive Divisors of Sequences Associated to Elliptic
Curves.” Journal of Number Theory. Elsevier, 2020. https://doi.org/10.1016/j.jnt.2019.09.003.
ieee: M. Verzobio, “Primitive divisors of sequences associated to elliptic curves,”
Journal of Number Theory, vol. 209, no. 4. Elsevier, pp. 378–390, 2020.
ista: Verzobio M. 2020. Primitive divisors of sequences associated to elliptic curves.
Journal of Number Theory. 209(4), 378–390.
mla: Verzobio, Matteo. “Primitive Divisors of Sequences Associated to Elliptic Curves.”
Journal of Number Theory, vol. 209, no. 4, Elsevier, 2020, pp. 378–90,
doi:10.1016/j.jnt.2019.09.003.
short: M. Verzobio, Journal of Number Theory 209 (2020) 378–390.
date_created: 2023-01-16T11:45:07Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2023-05-10T11:14:56Z
day: '01'
doi: 10.1016/j.jnt.2019.09.003
extern: '1'
external_id:
arxiv:
- '1906.00632'
intvolume: ' 209'
issue: '4'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1906.00632
month: '04'
oa: 1
oa_version: Preprint
page: 378-390
publication: Journal of Number Theory
publication_identifier:
issn:
- 0022-314X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Primitive divisors of sequences associated to elliptic curves
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 209
year: '2020'
...
---
_id: '10874'
abstract:
- lang: eng
text: In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler,
and Zykin, which allows us to connect invariants of binary octics to Siegel modular
forms of genus 3. We use this connection to show that certain modular functions,
when restricted to the hyperelliptic locus, assume values whose denominators are
products of powers of primes of bad reduction for the associated hyperelliptic
curves. We illustrate our theorem with explicit computations. This work is motivated
by the study of the values of these modular functions at CM points of the Siegel
upper half-space, which, if their denominators are known, can be used to effectively
compute models of (hyperelliptic, in our case) curves with CM.
acknowledgement: "The authors would like to thank the Lorentz Center in Leiden for
hosting the Women in Numbers Europe 2 workshop and providing a productive and enjoyable
environment for our initial work on this project. We are grateful to the organizers
of WIN-E2, Irene Bouw, Rachel Newton and Ekin Ozman, for making this conference
and this collaboration possible. We\r\nthank Irene Bouw and Christophe Ritzenhaler
for helpful discussions. Ionica acknowledges support from the Thomas Jefferson Fund
of the Embassy of France in the United States and the FACE Foundation. Most of Kılıçer’s
work was carried out during her stay in Universiteit Leiden and Carl von Ossietzky
Universität Oldenburg. Massierer was supported by the Australian Research Council
(DP150101689). Vincent is supported by the National Science Foundation under Grant
No. DMS-1802323 and by the Thomas Jefferson Fund of the Embassy of France in the
United States and the FACE Foundation. "
article_number: '9'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sorina
full_name: Ionica, Sorina
last_name: Ionica
- first_name: Pınar
full_name: Kılıçer, Pınar
last_name: Kılıçer
- first_name: Kristin
full_name: Lauter, Kristin
last_name: Lauter
- first_name: Elisa
full_name: Lorenzo García, Elisa
last_name: Lorenzo García
- first_name: Maria-Adelina
full_name: Manzateanu, Maria-Adelina
id: be8d652e-a908-11ec-82a4-e2867729459c
last_name: Manzateanu
- first_name: Maike
full_name: Massierer, Maike
last_name: Massierer
- first_name: Christelle
full_name: Vincent, Christelle
last_name: Vincent
citation:
ama: Ionica S, Kılıçer P, Lauter K, et al. Modular invariants for genus 3 hyperelliptic
curves. Research in Number Theory. 2019;5. doi:10.1007/s40993-018-0146-6
apa: Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A.,
Massierer, M., & Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic
curves. Research in Number Theory. Springer Nature. https://doi.org/10.1007/s40993-018-0146-6
chicago: Ionica, Sorina, Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Maria-Adelina
Manzateanu, Maike Massierer, and Christelle Vincent. “Modular Invariants for Genus
3 Hyperelliptic Curves.” Research in Number Theory. Springer Nature, 2019.
https://doi.org/10.1007/s40993-018-0146-6.
ieee: S. Ionica et al., “Modular invariants for genus 3 hyperelliptic curves,”
Research in Number Theory, vol. 5. Springer Nature, 2019.
ista: Ionica S, Kılıçer P, Lauter K, Lorenzo García E, Manzateanu M-A, Massierer
M, Vincent C. 2019. Modular invariants for genus 3 hyperelliptic curves. Research
in Number Theory. 5, 9.
mla: Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.”
Research in Number Theory, vol. 5, 9, Springer Nature, 2019, doi:10.1007/s40993-018-0146-6.
short: S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M.
Massierer, C. Vincent, Research in Number Theory 5 (2019).
date_created: 2022-03-18T12:09:48Z
date_published: 2019-01-02T00:00:00Z
date_updated: 2023-09-05T15:39:31Z
day: '02'
department:
- _id: TiBr
doi: 10.1007/s40993-018-0146-6
external_id:
arxiv:
- '1807.08986'
intvolume: ' 5'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1807.08986
month: '01'
oa: 1
oa_version: Preprint
publication: Research in Number Theory
publication_identifier:
eissn:
- 2363-9555
issn:
- 2522-0160
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modular invariants for genus 3 hyperelliptic curves
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 5
year: '2019'
...