The quantitative distribution of Hecke eigenvalues of Maass forms

Moni Kumari; Jyoti Sengupta

The quantitative distribution of Hecke eigenvalues of Maass forms

Number Theory 2022-06-27 v1

Authors: Moni Kumari , Jyoti Sengupta

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.

Keywords

hecke-maass cusp form hecke eigenvalues quantitative distribution omega results symmetric square

Cite

@article{arxiv.2206.12302,
  title  = {The quantitative distribution of Hecke eigenvalues of Maass forms},
  author = {Moni Kumari and Jyoti Sengupta},
  journal= {arXiv preprint arXiv:2206.12302},
  year   = {2022}
}

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