Extends the Wiener-Ikehara theorem for Dirichlet series with higher-order poles, indicating broader applicability.
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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Kato Ryo (2015) studied this question.
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