On the occurrence of large positive Hecke eigenvalues for GL(2)

Nahid Walji

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arXiv · 1612.09232

On the occurrence of large positive Hecke eigenvalues for GL(2)

Nahid Walji

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Abstract

Let $\pi$ be a cuspidal automorphic representation for GL(2)/$\mathbb{Q}$ that is self-dual. In this Note we show that there exists a positive upper Dirichlet density of primes at which the associated Hecke eigenvalues of $\pi$ are larger than a specified positive constant.

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Nahid Walji. 2016-12-29. On the occurrence of large positive Hecke eigenvalues for GL(2). https://arxiv.org/abs/1612.09232

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