---
_id: '10415'
abstract:
- lang: eng
  text: The Hardy–Littlewood circle method was invented over a century ago to study
    integer solutions to special Diophantine equations, but it has since proven to
    be one of the most successful all-purpose tools available to number theorists.
    Not only is it capable of handling remarkably general systems of polynomial equations
    defined over arbitrary global fields, but it can also shed light on the space
    of rational curves that lie on algebraic varieties.  This book, in which the arithmetic
    of cubic polynomials takes centre stage, is aimed at bringing beginning graduate
    students into contact with some of the many facets of the circle method, both
    classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i
    Balaguer Prize, a prestigious award for books of expository nature presenting
    the latest developments in an active area of research in mathematics.
alternative_title:
- Progress in Mathematics
article_processing_charge: No
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: 'Browning TD. <i>Cubic Forms and the Circle Method</i>. Vol 343. Cham: Springer
    Nature; 2021. doi:<a href="https://doi.org/10.1007/978-3-030-86872-7">10.1007/978-3-030-86872-7</a>'
  apa: 'Browning, T. D. (2021). <i>Cubic Forms and the Circle Method</i> (Vol. 343).
    Cham: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-86872-7">https://doi.org/10.1007/978-3-030-86872-7</a>'
  chicago: 'Browning, Timothy D. <i>Cubic Forms and the Circle Method</i>. Vol. 343.
    Cham: Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-86872-7">https://doi.org/10.1007/978-3-030-86872-7</a>.'
  ieee: 'T. D. Browning, <i>Cubic Forms and the Circle Method</i>, vol. 343. Cham:
    Springer Nature, 2021.'
  ista: 'Browning TD. 2021. Cubic Forms and the Circle Method, Cham: Springer Nature,
    XIV, 166p.'
  mla: Browning, Timothy D. <i>Cubic Forms and the Circle Method</i>. Vol. 343, Springer
    Nature, 2021, doi:<a href="https://doi.org/10.1007/978-3-030-86872-7">10.1007/978-3-030-86872-7</a>.
  short: T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham,
    2021.
date_created: 2021-12-05T23:01:46Z
date_published: 2021-12-01T00:00:00Z
date_updated: 2022-06-03T07:38:33Z
day: '01'
department:
- _id: TiBr
doi: 10.1007/978-3-030-86872-7
intvolume: '       343'
language:
- iso: eng
month: '12'
oa_version: None
page: XIV, 166
place: Cham
publication_identifier:
  eisbn:
  - 978-3-030-86872-7
  eissn:
  - 2296-505X
  isbn:
  - 978-3-030-86871-0
  issn:
  - 0743-1643
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Cubic Forms and the Circle Method
type: book
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 343
year: '2021'
...
---
_id: '227'
abstract:
- lang: eng
  text: Winner of the Ferran Sunyer i Balaguer Prize 2009. First attempt to systematically
    survey the range of available tools from analytic number theory that can be applied
    to study the density of rational points on projective varieties. Designed to rapidly
    guide the reader to the many areas of ongoing research in the domain. Provides
    an extensive bibliography.
alternative_title:
- Progress in Mathematics
article_processing_charge: No
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol 277.
    Birkhäuser Basel; 2009. doi:<a href="https://doi.org/10.1007/978-3-0346-0129-0">10.1007/978-3-0346-0129-0</a>
  apa: Browning, T. D. (2009). <i>Quantitative Arithmetic of Projective Varieties</i>
    (Vol. 277). Birkhäuser Basel. <a href="https://doi.org/10.1007/978-3-0346-0129-0">https://doi.org/10.1007/978-3-0346-0129-0</a>
  chicago: Browning, Timothy D. <i>Quantitative Arithmetic of Projective Varieties</i>.
    Vol. 277. Birkhäuser Basel, 2009. <a href="https://doi.org/10.1007/978-3-0346-0129-0">https://doi.org/10.1007/978-3-0346-0129-0</a>.
  ieee: T. D. Browning, <i>Quantitative Arithmetic of Projective Varieties</i>, vol.
    277. Birkhäuser Basel, 2009.
  ista: Browning TD. 2009. Quantitative Arithmetic of Projective Varieties, Birkhäuser
    Basel, XIII, 160p.
  mla: Browning, Timothy D. <i>Quantitative Arithmetic of Projective Varieties</i>.
    Vol. 277, Birkhäuser Basel, 2009, doi:<a href="https://doi.org/10.1007/978-3-0346-0129-0">10.1007/978-3-0346-0129-0</a>.
  short: T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser
    Basel, 2009.
date_created: 2018-12-11T11:45:19Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-12-21T10:56:12Z
day: '01'
doi: 10.1007/978-3-0346-0129-0
extern: '1'
intvolume: '       277'
language:
- iso: eng
month: '01'
oa_version: None
page: XIII, 160
publication_identifier:
  eisbn:
  - 9-783-0346-0129-0
  eissn:
  - 2296-505X
  isbn:
  - 9-783-0346-0128-3
  issn:
  - 0743-1643
publication_status: published
publisher: Birkhäuser Basel
publist_id: '7682'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative Arithmetic of Projective Varieties
type: book
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 277
year: '2009'
...