Generalization of the Wiener-Ikehara theorem

Published 29 Nov 2016 in math.NT and math.CA | (1611.09765v2)

Abstract: We study the Wiener-Ikehara theorem under the so-called log-linearly slowly decreasing condition. Moreover, we clarify the connection between two different hypotheses on the Laplace transform occurring in exact forms of the Wiener-Ikehara theorem, that is, in "if and only if" versions of this theorem.

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