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The fourth moment of central values of quadratic Hecke $L$-functions in the Gaussian field (2004.12528v1)
Published 27 Apr 2020 in math.NT
Abstract: We obtain an asymptotic formula for the fourth moment of central values of a family of quadratic Hecke $L$-functions in the Gaussian field under the generalized Riemann hypothesis (GRH). We also establish lower bounds unconditionally and upper bounds under GRH for higher moments of the same family.
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