A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

The shifted fourth moment of automorphic $L$-functions of prime power level

Volume 174 / 2016

Olga Balkanova Acta Arithmetica 174 (2016), 121-174 MSC: Primary 11F67, 11F11; Secondary 11M50. DOI: 10.4064/aa8165-4-2016 Published online: 4 July 2016

Abstract

We prove an asymptotic formula for the fourth moment of automorphic $L$-functions of level $p^{\nu }$, where $p$ is a fixed prime number and $\nu \rightarrow \infty $. This is a continuation of work by Rouymi, who computed the asymptotics of the first three moments at a prime power level, and a generalization of results obtained for a prime level by Duke, Friedlander & Iwaniec and Kowalski, Michel & VanderKam.

Authors

  • Olga BalkanovaInstitut de Mathématiques de Bordeaux
    Université de Bordeaux
    351 cours de la Liberation
    33405 Talence Cedex, France
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image