A combinatorial identity for studying Sato-Tate type problems
Steven J. Miller, M. Ram Murty, Frederick W. Strauch
TL;DR
This paper introduces a combinatorial identity that facilitates the analysis of the distribution of Fourier coefficients of L-functions by linking their moments to their distribution.
Contribution
The paper presents a new combinatorial identity that enables the study of Sato-Tate type problems through moment-to-distribution analysis.
Findings
Derived a combinatorial identity for Fourier coefficient analysis
Connected moments of coefficients to their distribution
Provided a new tool for Sato-Tate type problem investigations
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.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry · Coding theory and cryptography