Integer points in a simplex and related Diophantine problems: Hardy--Littlewood asymptotics in higher dimensions
Combinatorics
2026-05-15 v1
Abstract
In the early 1920s, Hardy and Littlewood considered the number of integer points in the right-angled triangles with irrational inclines of the diagonal. We extend their results to higher dimensions.
Cite
@article{arxiv.2605.14446,
title = {Integer points in a simplex and related Diophantine problems: Hardy--Littlewood asymptotics in higher dimensions},
author = {M. M. Skriganov},
journal= {arXiv preprint arXiv:2605.14446},
year = {2026}
}