Counting rational points on quadric surfaces
Discrete analysis (2018)
Voir la notice de l'article provenant de la source Scholastica
arXiv
We give an upper bound for the number of rational points of height at most $B$, lying on a surface defined by a quadratic form $Q$. The bound shows an explicit dependence on $Q$. It is optimal with respect to $B$, and is also optimal for typical forms $Q$.
T. D. Browning; D. R. Heath-Brown. Counting rational points on quadric surfaces. Discrete analysis (2018). http://geodesic.mathdoc.fr/item/DAS_2018_a6/
@article{DAS_2018_a6,
author = {T. D. Browning and D. R. Heath-Brown},
title = {Counting rational points on quadric surfaces},
journal = {Discrete analysis},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DAS_2018_a6/}
}