Conductor zeta function for the GL(2) universal family

Abstract

We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of ${\mathrm{GL}}_2$ over $\mathbb{Q}$, 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.

arXiv comment26 pages

References in corpus (2)

• L-functions as distributions
• On the remainder term of the Weyl law for congruence subgroups of Chevalley groups