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Pré-Publication, Document De Travail Année : 2022

Conductor zeta function for the GL(2) universal family

Didier Lesesvre
  • Fonction : Auteur
Djordje Milićević
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03913418 , version 1 (26-12-2022)

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Citer

Farrell Brumley, Didier Lesesvre, Djordje Milićević. Conductor zeta function for the GL(2) universal family. 2022. ⟨hal-03913418⟩
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