Conductor zeta function for the GL(2) universal family
Number Theory
2021-05-06 v1
Abstract
We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of over , as well as for Hecke characters over any number field. The method proceeds by establishing the requisite analytic properties of the underlying conductor zeta function.
Cite
@article{arxiv.2105.02068,
title = {Conductor zeta function for the GL(2) universal family},
author = {Farrell Brumley and Didier Lesesvre and Djordje Milićević},
journal= {arXiv preprint arXiv:2105.02068},
year = {2021}
}
Comments
26 pages