Counting integral points in homogeneous spaces over function fields

Sheng Chen; Jing Liu

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arXiv · 2510.06983

Counting integral points in homogeneous spaces over function fields

Sheng Chen·Jing Liu

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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.

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Sheng Chen, Jing Liu. 2025-10-08. Counting integral points in homogeneous spaces over function fields. https://arxiv.org/abs/2510.06983

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