---
_id: '258'
abstract:
- lang: eng
text: Given a number field k and a projective algebraic variety X defined over k,
the question of whether X contains a k-rational point is both very natural and
very difficult. In the event that the set X(k) of k-rational points is not empty,
one can also ask how the points of X(k) are distributed. Are they dense in X under
the Zariski topology? Are they dense in the set.
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. A survey of applications of the circle method to rational points.
In: *Arithmetic and Geometry*. Cambridge University Press; 2015:89-113. doi:10.1017/CBO9781316106877.009'
apa: Browning, T. D. (2015). A survey of applications of the circle method to rational
points. In *Arithmetic and Geometry* (pp. 89–113). Cambridge University Press.
https://doi.org/10.1017/CBO9781316106877.009
chicago: Browning, Timothy D. “A Survey of Applications of the Circle Method to
Rational Points.” In *Arithmetic and Geometry*, 89–113. Cambridge University
Press, 2015. https://doi.org/10.1017/CBO9781316106877.009.
ieee: T. D. Browning, “A survey of applications of the circle method to rational
points,” in *Arithmetic and Geometry*, Cambridge University Press, 2015,
pp. 89–113.
ista: 'Browning TD. 2015.A survey of applications of the circle method to rational
points. In: Arithmetic and Geometry. , 89–113.'
mla: Browning, Timothy D. “A Survey of Applications of the Circle Method to Rational
Points.” *Arithmetic and Geometry*, Cambridge University Press, 2015, pp.
89–113, doi:10.1017/CBO9781316106877.009.
short: T.D. Browning, in:, Arithmetic and Geometry, Cambridge University Press,
2015, pp. 89–113.
date_created: 2018-12-11T11:45:28Z
date_published: 2015-08-01T00:00:00Z
date_updated: 2021-01-12T06:58:22Z
day: '01'
doi: 10.1017/CBO9781316106877.009
extern: '1'
language:
- iso: eng
month: '08'
oa_version: None
page: 89 - 113
publication: Arithmetic and Geometry
publication_status: published
publisher: Cambridge University Press
publist_id: '7644'
quality_controlled: '1'
status: public
title: A survey of applications of the circle method to rational points
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...