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Moments and One level density of certain unitary families of Hecke {$L$}-functions
Published 6 Aug 2018 in math.NT | (1808.01710v2)
Abstract: In this paper, we study moments of central values of certain unitary families of Hecke $L$-functions of the Gaussian field, and establish quantitative non-vanishing result for the central values. We also establish an one level density result for the low-lying zeros of these families of Hecke $L$-functions.
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