A remark on the Wiener-Ikehara Tauberian theorem

2014/06/02 by Kato, Ryo · 1 citation
#11M45 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1406.0427

Abstract

In this paper we point out that the proof of Kable's extension of the Wiener-Ikehara Tauberian theorem can be applied to the case where the Dirichlet series has a pole of order "l / m" without much modification (Kable proved the case l = 1).

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• Dimensions of spaces of modular forms

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