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

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

2007-06-12

arxiv.org/abs/0706.1763v1

Mathematics

Number Theory

41 pages

Scientific paper

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 $\zeta'(\rho)$ where $\zeta(s)$ is the
Riemann zeta function and $\rho$ is a non-trivial zero of the Riemann zeta
function.

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