Vanishing of the integral of the Hurwitz zeta Function-Reference-Cited by-同舟云学术

Vanishing of the integral of the Hurwitz zeta Function

Published:2002-02 Issue:1 Volume:65 Page:121-127
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Broughan Kevin A.

Abstract

A proof is given that the improper Riemann integral of ζ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with ℜ(s) < 1. The integral does not exist (as a finite real number) when ℜ(s) ≥ 1.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

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4. A note on the 2 k-th mean value of the Hurwitz zeta function

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