Stieltjes constants of L-functions in the extended Selberg class

Shōta Inoue, Sumaia Saad Eddin, Ade Irma Suriajaya

Research output: Contribution to journalArticlepeer-review

Abstract

Let f be an arithmetic function and let S# denote the extended Selberg class. We denote by L(s)=∑n=1∞f(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.

Original languageEnglish
Pages (from-to)609-621
Number of pages13
JournalRamanujan Journal
Volume55
Issue number2
DOIs
Publication statusPublished - Jun 2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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