Nearest neighbor spacing distributions for zeros of the real or imaginary part of the Riemann xi-function on vertical lines

Masatoshi Suzuki

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arXiv · 1409.5394

Nearest neighbor spacing distributions for zeros of the real or imaginary part of the Riemann xi-function on vertical lines

Masatoshi Suzuki

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Abstract

We show that the density functions of nearest neighbor spacing distributions for zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which is appeared in value distributions of the logarithmic derivative of the Riemann zeta-function on vertical lines.

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Masatoshi Suzuki. 2014-09-18. Nearest neighbor spacing distributions for zeros of the real or imaginary part of the Riemann xi-function on vertical lines. https://arxiv.org/abs/1409.5394

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