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A Discrete Mean Value of the Derivative of the Riemann Zeta Function

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  21 December 2009

Nathan Ng
Nathan Ng
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Ave., Ottawa, ON, Canada, K1N 6N5.
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Abstract

In this article, a discrete mean value of the derivative of the Riemann zeta function is computed. This mean value will be important for several applications concerning the size of ζ′(ρ), where ζ(s) is the Riemann zeta function and ρ is a non-trivial zero of ζ(s).

MSC classification

Secondary: 11M26: Nonreal zeros of $zeta (s)$ and $L(s, chi)$; Riemann and other hypotheses
Type
Research Article
Information
Mathematika , Volume 54 , Issue 1-2 , December 2007 , pp. 113 - 155
Copyright
Copyright © University College London 2007

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