Counting rational points on the sphere with bounded denominator
Number Theory
2024-04-09 v2
Abstract
We give an optimal bound for the remainder when counting the number of rational points on the -dimensional sphere with bounded denominator for any .
Cite
@article{arxiv.2404.02114,
title = {Counting rational points on the sphere with bounded denominator},
author = {Dubi Kelmer},
journal= {arXiv preprint arXiv:2404.02114},
year = {2024}
}
Comments
13 pages. Added a bound for the $2$-sphere