Symplectic Kloosterman Sums for $\operatorname{Sp}(2n)$ with Powerful Moduli
Number Theory
2025-12-19 v1
Abstract
We prove a non-trivial bound for Kloosterman sums of moduli not equal to a prime multiple of the identity. These sums are attached to Siegel modular forms on the group and appear in the corresponding Petersson formula. We give an application to equidistribution of coprime symmetric pairs.
Cite
@article{arxiv.2512.16680,
title = {Symplectic Kloosterman Sums for $\operatorname{Sp}(2n)$ with Powerful Moduli},
author = {Gilles Felber},
journal= {arXiv preprint arXiv:2512.16680},
year = {2025}
}
Comments
48 pages