A discrete mean value of the derivative of the Riemann zeta function

Nathan Ng

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arXiv · 0706.1763

A discrete mean value of the derivative of the Riemann zeta function

Nathan Ng

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Abstract

In this article we compute a discrete mean value of the derivative of the Riemann zeta function. 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 the Riemann zeta function.

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BibTeX RIS

Nathan Ng. 2007-06-12. A discrete mean value of the derivative of the Riemann zeta function. https://arxiv.org/abs/0706.1763

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