Vanishing Fourier coefficients of Hecke eigenforms

Naser Sardari (Max Planck Institute for Mathematics)

03-Dec-2020, 22:00-23:00 (3 years ago)

Abstract: 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.

number theory

Audience: researchers in the topic


Columbia CUNY NYU number theory seminar

Organizers: Dorian Goldfeld*, Eric Urban, Fedor Bogomolov, Yuri Tschinkel, Alexander Gamburd, Victor Kolyvagin, Gautam Chinta
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