Vanishing Fourier Coefficients of Hecke Eigenforms

Speaker:

Naser Talebizadeh Sardari

Affiliation:

University of Wisconsin-Madison/MPIM

Date:

Wed, 21/10/2020 - 14:30 - 15:30

Parent event:

Number theory lunch seminar [2]

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).

We prove that, for fixed level~$(N,p) = 1$ and prime~$p > 2$, there are only finitely many Hecke eigenforms~$f$ of level~$\Gamma_1(N)$ and even weight with~$a_p(f) = 0$ (p-th Fourier coefficient) which are not CM. This is joint work with Frank Calegari.