On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case
Number Theory
2025-10-09 v5
Abstract
We prove a Weyl-type subconvex bound for cube-free level Hecke characters over totally real number fields. Our proof relies on an explicit inversion to Motohashi's formula. Schwartz functions of various kinds and the invariance of the relevant Motohashi's distributions discovered in a previous paper play central roles.
Cite
@article{arxiv.2108.12283,
title = {On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case},
author = {Olga Balkanova and Dmitry Frolenkov and Han Wu},
journal= {arXiv preprint arXiv:2108.12283},
year = {2025}
}