---
_id: '6310'
abstract:
- lang: eng
  text: An asymptotic formula is established for the number of rational points of
    bounded anticanonical height which lie on a certain Zariskiopen subset of an arbitrary
    smooth biquadratic hypersurface in sufficiently many variables. The proof uses
    the Hardy–Littlewood circle method.
article_processing_charge: No
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: L.Q.
  full_name: Hu, L.Q.
  last_name: Hu
citation:
  ama: Browning TD, Hu LQ. Counting rational points on biquadratic hypersurfaces.
    <i>Advances in Mathematics</i>. 2019;349:920-940. doi:<a href="https://doi.org/10.1016/j.aim.2019.04.031">10.1016/j.aim.2019.04.031</a>
  apa: Browning, T. D., &#38; Hu, L. Q. (2019). Counting rational points on biquadratic
    hypersurfaces. <i>Advances in Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/j.aim.2019.04.031">https://doi.org/10.1016/j.aim.2019.04.031</a>
  chicago: Browning, Timothy D, and L.Q. Hu. “Counting Rational Points on Biquadratic
    Hypersurfaces.” <i>Advances in Mathematics</i>. Elsevier, 2019. <a href="https://doi.org/10.1016/j.aim.2019.04.031">https://doi.org/10.1016/j.aim.2019.04.031</a>.
  ieee: T. D. Browning and L. Q. Hu, “Counting rational points on biquadratic hypersurfaces,”
    <i>Advances in Mathematics</i>, vol. 349. Elsevier, pp. 920–940, 2019.
  ista: Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces.
    Advances in Mathematics. 349, 920–940.
  mla: Browning, Timothy D., and L. Q. Hu. “Counting Rational Points on Biquadratic
    Hypersurfaces.” <i>Advances in Mathematics</i>, vol. 349, Elsevier, 2019, pp.
    920–40, doi:<a href="https://doi.org/10.1016/j.aim.2019.04.031">10.1016/j.aim.2019.04.031</a>.
  short: T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
date_created: 2019-04-16T09:13:25Z
date_published: 2019-06-20T00:00:00Z
date_updated: 2023-08-25T10:11:55Z
day: '20'
ddc:
- '512'
department:
- _id: TiBr
doi: 10.1016/j.aim.2019.04.031
external_id:
  arxiv:
  - '1810.08426'
  isi:
  - '000468857300025'
file:
- access_level: open_access
  checksum: a63594a3a91b4ba6e2a1b78b0720b3d0
  content_type: application/pdf
  creator: tbrownin
  date_created: 2019-04-16T09:12:20Z
  date_updated: 2020-07-14T12:47:27Z
  file_id: '6311'
  file_name: wliqun.pdf
  file_size: 379158
  relation: main_file
file_date_updated: 2020-07-14T12:47:27Z
has_accepted_license: '1'
intvolume: '       349'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 920-940
publication: Advances in Mathematics
publication_identifier:
  eissn:
  - '10902082'
  issn:
  - '00018708'
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Counting rational points on biquadratic hypersurfaces
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 349
year: '2019'
...