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

Published 26 Jul 2020 in math.NT | (2007.13097v1)

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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