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Vanishing Fourier Coefficients of Hecke Eigenforms

Posted in
Speaker: 
Naser Talebizadeh Sardari
Affiliation: 
University of Wisconsin-Madison/MPIM
Date: 
Wed, 2020-10-21 14:30 - 15:30
Parent event: 
Number theory lunch seminar

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.

 

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