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Department of Mathematics,
University of California San Diego

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Math 209 - Number Theory

Naser Sardari

University of Wisconsin - Madison

Bounds on the multiplicity of the Hecke eigenvalues

Abstract:

Fix an integer $N$ and a prime $(p,N)=1$ where $p>3$. We show that the number of newforms $f$ (up to a scalar multiple) of level $N$ and even weight $k$ such that $T_p(f) = 0$ is bounded independently of $k$, where $T_p$ is the Hecke operator.

Host: Ila Varma

May 30, 2019

2:00 PM

AP&M 7321

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