The sixth moment of automorphic $L$-functions

Vorrapan Chandee; Xiannan Li

doi:10.2140/ant.2017.11.583

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Home > Journals > Algebra Number Theory > Volume 11 > Issue 3 > Article

2017 The sixth moment of automorphic $L$-functions

Vorrapan Chandee, Xiannan Li

Algebra Number Theory 11(3): 583-633 (2017). DOI: 10.2140/ant.2017.11.583

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Abstract

We consider the $L$ -functions $L (s, f)$ , where $f$ is an eigenform for the congruence subgroup $Γ_{1} (q)$ . We prove an asymptotic formula for the sixth moment of this family of automorphic $L$ -functions.

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Vorrapan Chandee. Xiannan Li. "The sixth moment of automorphic $L$-functions." Algebra Number Theory 11 (3) 583 - 633, 2017. https://doi.org/10.2140/ant.2017.11.583