Non-vanishing of central values of quadratic Hecke L-functions of prime moduli in the Gaussian field

2020/07/26 by Gao, Peng
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2007.13097

Abstract

We study the first and second mollified moments of central values of a quadratic family of Hecke L-functions of prime moduli to show that more than nine percent of the members of this family do not vanish at the central values.

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