Pair correlation statistics for Sato-Tate sequences
Number Theory
2018-10-01 v1
Abstract
We investigate the pair correlation statistics for sequences arising from Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We derive the average pair correlation function of Hecke angles lying in small subintervals of . The averaging is done over non-CM newforms of weight with respect to We also derive similar statistics for Hilbert modular forms and modular forms on hyperbolic 3-spaces.
Keywords
Cite
@article{arxiv.1809.10863,
title = {Pair correlation statistics for Sato-Tate sequences},
author = {Baskar Balasubramanyam and Kaneenika Sinha},
journal= {arXiv preprint arXiv:1809.10863},
year = {2018}
}
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18 pages