Conductor zeta function for the GL(2) universal family

Autor: Brumley, Farrell, Lesesvre, Didier, Milićević, Djordje
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 26 pages
Databáze: arXiv