Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis

Details Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis

1994-12-05

arxiv.org/abs/math/9412220v1

Mathematics

Number Theory

Scientific paper

The GUE Hypothesis, which concerns the distribution of zeros of the Riemann
zeta-function, is used to evaluate some integrals involving the logarithmic
derivative of the zeta-function. Some connections are shown between the GUE
Hypothesis and other conjectures.

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