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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