Bounds for standard $L$-functions
Number Theory
2023-01-25 v2
Abstract
Let be a cuspidal automorphic representation of a general linear group over the rational numbers. We establish a subconvex bound for the standard -function of in the -aspect. More generally, we address the spectral aspect in the case of uniform parameter growth.
Cite
@article{arxiv.2109.15230,
title = {Bounds for standard $L$-functions},
author = {Paul D. Nelson},
journal= {arXiv preprint arXiv:2109.15230},
year = {2023}
}
Comments
239 pages. v2: references updated, minor corrections/clarifications