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

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.

preprint2020arXivOpen access
Peng GaoLiangyi Zhao
math.NT
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Peng GaoLiangyi Zhao

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