Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis
Number Theory
2009-09-25 v1
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.
Cite
@article{arxiv.math/9412220,
title = {Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis},
author = {David W. Farmer},
journal= {arXiv preprint arXiv:math/9412220},
year = {2009}
}