Counting integral points in homogeneous spaces over function fields
Number Theory
2026-04-15 v2 Algebraic Geometry
Abstract
We establish the asymptotic formula for the number of integral points in non-compact symmetric homogeneous spaces of semi-simple simply connected algebraic groups over global function fields, given by the sum of the products of local densities twisted by suitable Brauer elements.
Cite
@article{arxiv.2510.06983,
title = {Counting integral points in homogeneous spaces over function fields},
author = {Sheng Chen and Jing Liu},
journal= {arXiv preprint arXiv:2510.06983},
year = {2026}
}
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