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arXiv · 1505.03200

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

Olga Balkanova
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Abstract

We prove the 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 paper is a continuation of work by Rouymi, who computed asymptotics of the first three moments at prime power level, and a generalization of results obtained for prime level by Duke, Friedlander & Iwaniec and Kowalski, Michel & Vanderkam.

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Olga Balkanova. 2015-05-13. The shifted fourth moment of automorphic L-functions of prime power level. https://arxiv.org/abs/1505.03200

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