The second moment of Dirichlet twists of Hecke $L$-functions

Abstract

Fix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus $q$, what is the average behavior of the square of the central value of this $L$-function? Stefanicki proved an asymptotic valid only for $q$ having very few prime factors, and we extend this to almost all $q$.

9 pages

Cited by in corpus (2)

• The second moment of twisted modular L-functions
• Moments and One level density of certain unitary families of Hecke {$L$}-functions