Counting lattice points in central simple algebras with a given characteristic polynomial

Jiaqi Xie

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arXiv · 2503.02371

Counting lattice points in central simple algebras with a given characteristic polynomial

Jiaqi Xie

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Abstract

We extend the asymptotic formula for counting integral matrices with a given irreducible characteristic polynomial by Eskin, Mozes and Shah in 1996 to the case of counting elements in a maximal order of certain central simple algebra with a given irreducible characteristic polynomial.

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Jiaqi Xie. 2025-03-04. Counting lattice points in central simple algebras with a given characteristic polynomial. https://arxiv.org/abs/2503.02371

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