A combinatorial identity for studying Sato-Tate type problems

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.

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

References in corpus (1)

• Effective equidistribution and the Sato-Tate law for families of elliptic curves