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arXiv · 2206.12302

The quantitative distribution of Hecke eigenvalues of Maass forms

Moni Kumari·Jyoti Sengupta
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Abstract

Let $f$ be a normalized Hecke-Maass cusp form of weight zero for the group $SL_2(\mathbb Z)$. This article presents several quantitative results about the distribution of Hecke eigenvalues of $f$. Applications to the $\Omega_{\pm}$-results for the Hecke eigenvalues of $f$ and its symmetric square sym$^2(f)$ are also given.

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Moni Kumari, Jyoti Sengupta. 2022-06-24. The quantitative distribution of Hecke eigenvalues of Maass forms. https://arxiv.org/abs/2206.12302

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