Averages of coefficients of a class of degree 3 L-functions

2020/03/09 by Bingrong Huang, Huang, Bingrong, Yongxiao Lin +3 · 1 citation
Mathematics · Computer Science · #Analytic Number Theory Research #Coding theory and cryptography #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.2003.04240

Abstract

In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three L-functions which can be factorized as a product of a degree one and a degree two L-functions. We emphasize that we can break the 1/2-barrier in the error term, and we get an explicit exponent.

Citations

• On the Rankin–Selberg problem

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• On the exponent of distribution for convolutions of GL(2) coefficients to smooth moduli

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