Conductor zeta function for the GL(2) universal family

Brumley, Farrell; Lesesvre, Didier; Milićević, Djordje

Type de document :

Pré-publication ou Document de travail

Titre :

Conductor zeta function for the GL(2) universal family

Auteur(s) :

Brumley, Farrell [Auteur]
Université Sorbonne Paris Nord
Lesesvre, Didier [Auteur]

Université de Lille
Milićević, Djordje [Auteur]
Bryn Mawr College

Discipline(s) HAL :

Mathématiques [math]/Théorie des nombres [math.NT]

Résumé en anglais : [en]

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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Commentaire :

26 pages

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

2105.02068
Accès libre
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