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

David W. Farmer
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Abstract

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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David W. Farmer. 1994-12-05. Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis. https://arxiv.org/abs/math/9412220

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