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Stieltjes constants of L-functions in the extended Selberg class

Inoue, Shōta イノウエ, ショウタ Saad Eddin, Sumaia Suriajaya, Ade Irma 九州大学

2021.03.20

概要

Let f be an arithmetic function and let S# denote the extended Selberg class. We denote by L(s) = ∞n=1f (n)ns the Dirichlet series attached to f . The Laurent–Stieltjes constants of L(s), which belongs to S#, are the coefficients of the Laurent expansion of L at its pole s = 1. In this paper, we give an upper bound of these constants, which is a generalization of many known results.

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