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

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 نشر من قبل Olga Balkanova
 تاريخ النشر 2015
  مجال البحث
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 تأليف Olga Balkanova




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We prove the asymptotic formula for the fourth moment of automorphic $L$-functions of level $p^{ u}$, where $p$ is a fixed prime number and $ u 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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