@inbook{258,
abstract = {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 = {Browning, Timothy D},
booktitle = {Arithmetic and Geometry},
pages = {89 -- 113},
publisher = {Cambridge University Press},
title = {{A survey of applications of the circle method to rational points}},
doi = {10.1017/CBO9781316106877.009},
year = {2015},
}