A Coarse Jacquet-Zagier Trace Formula for GL($n$) with Applications
Number Theory
2026-05-13 v2
Abstract
In this paper we establish a coarse Jacquet-Zagier trace identity for GL We prove the absolute convergence when and and obtain holomorphic continuation under almost all character twist. Moreover, as an application, we prove that holomorphy of certain adjoint -functions for GL implies Dedekind conjecture of degree . Some nonvanishing results are also discussed.
Cite
@article{arxiv.2003.03450,
title = {A Coarse Jacquet-Zagier Trace Formula for GL($n$) with Applications},
author = {Liyang Yang},
journal= {arXiv preprint arXiv:2003.03450},
year = {2026}
}
Comments
139 pages; the previous arXiv:1903.09881 has been split into two parts, this is the second half