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arXiv · 1912.12754

On the occurrence of Hecke eigenvalues in sectors

Nahid Walji
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Abstract

Let $\pi$ be a non-self-dual unitary cuspidal automorphic representation of non-solvable polyhedral type for GL(2) over a number field. We show that $\pi$ has a positive upper Dirichlet density of Hecke eigenvalues in any sector whose angle is at least 2.63 radians.

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Nahid Walji. 2019-12-29. On the occurrence of Hecke eigenvalues in sectors. https://arxiv.org/abs/1912.12754

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