On the regularized $L^4$-norm of Eisenstein series in the level aspect

Jiakun Pan

paper

On the regularized $L^{4}$ -norm of Eisenstein series in the level aspect

arXiv:2003.10995

Abstract

We prove an asymptotic formula expressing the regularized fourth moment of all newform Eisenstein series of primitive nebentypus as a mean value of $L$ -functions. This is an analogue of the recent work of Djanković and Khan in the spectral aspect.

12 pages

References in corpus (1)

Quantum Unique Ergodicity for Eisenstein Series in the Level Aspect

On the regularized L4-norm of Eisenstein series in the level aspect

Abstract

References in corpus (1)

On the regularized $L^{4}$ -norm of Eisenstein series in the level aspect