The quantitative distribution of Hecke eigenvalues

Authors

  • Y. Wang Department of Mathematics, The Chinese University of Hong Kong

Keywords:

Sato-Tate conjecture, Maass forms, Hecke eigenvalues, quantitative distribution

Abstract

In this paper, we prove that the Sato-Tate conjecture for primitive Maass forms holds on average. We also investigate the rate of convergence in the Sato-Tate conjecture and establish some estimates of the discrepancy with respect to the Sato-Tate measure on the average of primitive Maass forms. DOI: 10.1017/S0004972714000070

Published

2014-06-03

Issue

Vol. 90 No. 1 (2014)

Section

Articles
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