First Moments of Some Hecke $L$-functions of Prime Moduli

Published 5 May 2020 in math.NT | (2005.01907v1)

Abstract: We study the first moments of central values of Hecke $L$-functions associated with quadratic, cubic and quartic symbols to prime moduli. This also enables us to obtain results on first moments of central values of certain families of cubic and quartic Dirichlet $L$-functions of prime moduli.

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