On a Generalization of Motohashi's Formula: Non-archimedean Weight Functions
Number Theory
2025-07-15 v1
Abstract
This is a continuation of the adelic version of Kwan's formula. At non-archimedean places we give a bound of the weight function on the mixed moment side, when the weight function on the side is nearly the characteristic function of a short family. Our method works for any tempered representation of , and reveals the structural reason for the appearance of Katz's hypergeometric sums in a previous joint work with P.Xi.
Cite
@article{arxiv.2507.09125,
title = {On a Generalization of Motohashi's Formula: Non-archimedean Weight Functions},
author = {Han Wu},
journal= {arXiv preprint arXiv:2507.09125},
year = {2025}
}