A combinatorial identity for studying Sato-Tate type problems
Combinatorics
2010-06-02 v1 Number Theory
Abstract
We derive a combinatorial identity which is useful in studying the distribution of Fourier coefficients of L-functions by allowing us to pass from knowledge of moments of the coefficients to the distribution of the coefficients.
Keywords
Cite
@article{arxiv.1006.0163,
title = {A combinatorial identity for studying Sato-Tate type problems},
author = {Steven J. Miller and M. Ram Murty and Frederick W. Strauch},
journal= {arXiv preprint arXiv:1006.0163},
year = {2010}
}
Comments
This paper contains the proof of a combinatorial identity used to study effective equidistribution laws for the Fourier coefficients of elliptic curve L-functions investigated by the first two authors in http://arxiv.org/abs/1004.2753