---
_id: '9007'
abstract:
- lang: eng
  text: Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle
    method to count “sufficiently free” rational points of bounded height on arbitrary
    smooth projective hypersurfaces of low degree that are defined over the rationals.
article_processing_charge: No
article_type: original
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: Will
  full_name: Sawin, Will
  last_name: Sawin
citation:
  ama: Browning TD, Sawin W. Free rational points on smooth hypersurfaces. <i>Commentarii
    Mathematici Helvetici</i>. 2020;95(4):635-659. doi:<a href="https://doi.org/10.4171/CMH/499">10.4171/CMH/499</a>
  apa: Browning, T. D., &#38; Sawin, W. (2020). Free rational points on smooth hypersurfaces.
    <i>Commentarii Mathematici Helvetici</i>. European Mathematical Society. <a href="https://doi.org/10.4171/CMH/499">https://doi.org/10.4171/CMH/499</a>
  chicago: Browning, Timothy D, and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.”
    <i>Commentarii Mathematici Helvetici</i>. European Mathematical Society, 2020.
    <a href="https://doi.org/10.4171/CMH/499">https://doi.org/10.4171/CMH/499</a>.
  ieee: T. D. Browning and W. Sawin, “Free rational points on smooth hypersurfaces,”
    <i>Commentarii Mathematici Helvetici</i>, vol. 95, no. 4. European Mathematical
    Society, pp. 635–659, 2020.
  ista: Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces.
    Commentarii Mathematici Helvetici. 95(4), 635–659.
  mla: Browning, Timothy D., and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.”
    <i>Commentarii Mathematici Helvetici</i>, vol. 95, no. 4, European Mathematical
    Society, 2020, pp. 635–59, doi:<a href="https://doi.org/10.4171/CMH/499">10.4171/CMH/499</a>.
  short: T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
date_created: 2021-01-17T23:01:11Z
date_published: 2020-12-07T00:00:00Z
date_updated: 2025-07-10T12:01:31Z
day: '07'
department:
- _id: TiBr
doi: 10.4171/CMH/499
external_id:
  arxiv:
  - '1906.08463'
  isi:
  - '000596833300001'
intvolume: '        95'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1906.08463
month: '12'
oa: 1
oa_version: Preprint
page: 635-659
publication: Commentarii Mathematici Helvetici
publication_identifier:
  eissn:
  - 1420-8946
  issn:
  - 0010-2571
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Free rational points on smooth hypersurfaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 95
year: '2020'
...