A remark on the Wiener-Ikehara Tauberian theorem
Number Theory
2014-06-03 v1
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 "" without much modification (Kable proved the case ).
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Cite
@article{arxiv.1406.0427,
title = {A remark on the Wiener-Ikehara Tauberian theorem},
author = {Ryo Kato},
journal= {arXiv preprint arXiv:1406.0427},
year = {2014}
}
Comments
9 pages