Title :

Conductor zeta function for the GL(2) universal family

Author(s) :

Brumley, Farrell [Auteur]
Laboratoire Analyse, Géométrie et Applications [LAGA]
Lesesvre, Didier [Auteur]
Milićević, Djordje [Auteur]

HAL domain(s) :

Mathématiques [math]/Théorie des nombres [math.NT]
Mathématiques [math]/Théorie des représentations [math.RT]
Mathématiques [math]/Théorie spectrale [math.SP]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Comment :

26 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL