Number Theory Seminar

Date: February 20, 2020

Time: 10:30AM - 11:30AM

Location: BLOC 220

Speaker: Nahid Walji, American University of Paris

Title: On the distribution of Hecke eigenvalues in the complex plane

Abstract: Let r be a cuspidal automorphic representation of non-solvable polyhedral type for GL(2) over a number field. We establish the existence of sets of primes with positive upper Dirichlet density for which the associated Hecke eigenvalues satisfy prescribed bounds on their argument and/or size. For example, if r is not self-dual we show that there is a positive upper density of Hecke eigenvalues in any sector of size 2.64 radians.

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