A remark on the Wiener-Ikehara Tauberian theorem

preprint2014arXivOpen access

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/ml / m" without much modification (Kable proved the case l=1l = 1).

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