Geodesic
The shifted fourth moment of automorphic $L$-functions of prime power level
Olga Balkanova1
1 Institut de Mathématiques de Bordeaux Université de Bordeaux 351 cours de la Liberation 33405 Talence Cedex, France
Acta Arithmetica, Tome 174 (2016) no. 2, pp. 121-174.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa8165-4-2016
Keywords: prove asymptotic formula fourth moment automorphic l functions level where fixed prime number rightarrow infty continuation work rouymi who computed asymptotics first three moments prime power level generalization results obtained prime level duke friedlander iwaniec kowalski michel vanderkam

Olga Balkanova 1

1 Institut de Mathématiques de Bordeaux Université de Bordeaux 351 cours de la Liberation 33405 Talence Cedex, France 
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Olga Balkanova. The shifted fourth moment of automorphic $L$-functions of prime power level. Acta Arithmetica, Tome 174 (2016) no. 2, pp. 121-174. doi : 10.4064/aa8165-4-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8165-4-2016/

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