Note on the absence of remainders in the Wiener-Ikehara theorem
Author:
Abstract
We show that it is impossible to get a better remainder than the classical one in the Wiener-Ikehara theorem even if one assumes analytic continuation of the Mellin transform after subtraction of the pole to a half-plane. We also prove a similar result for the Ingham-Karamata theorem.
Funder
Universiteit Gent
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
https://www.ams.org/proc/2018-146-12/S0002-9939-2018-14193-3/proc14193_AM.pdf
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