Jiakun Pan (Max Planck Institute for Mathematics): The $L^4$-norm problem for newform Eisenstein series

Abstract: Let $E$ be an Eisenstein series of primitive nebentypus mod $N$. We reduce the regularised fourth moment of $E$ to an average of automorphic $L$-functions, for all large $N$. The result is the level aspect analogue of the similar work by Djanković and Khan.

The link for the talk is https://zoom.us/j/94752830725, the password is the order of $\mathrm{SL}_2(\mathbb{F}_{97})$.