## Algebra & Number Theory

### The sixth moment of automorphic $L$-functions

#### Abstract

We consider the $L$-functions $L(s,f)$, where $f$ is an eigenform for the congruence subgroup $Γ1(q)$. We prove an asymptotic formula for the sixth moment of this family of automorphic $L$-functions.

#### Article information

Source
Algebra Number Theory, Volume 11, Number 3 (2017), 583-633.

Dates
Revised: 25 July 2016
Accepted: 16 December 2016
First available in Project Euclid: 19 October 2017

https://projecteuclid.org/euclid.ant/1508431774

Digital Object Identifier
doi:10.2140/ant.2017.11.583

Mathematical Reviews number (MathSciNet)
MR3649362

Zentralblatt MATH identifier
06722476

#### Citation

Chandee, Vorrapan; Li, Xiannan. The sixth moment of automorphic $L$-functions. Algebra Number Theory 11 (2017), no. 3, 583--633. doi:10.2140/ant.2017.11.583. https://projecteuclid.org/euclid.ant/1508431774

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