We show that the density functions of nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which appears in value distribution of the logarithmic derivative of the Riemann zeta-function on vertical lines.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-1-4,
author = {Masatoshi Suzuki},
title = {Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {47-65},
zbl = {06459957},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-1-4}
}
Masatoshi Suzuki. Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines. Acta Arithmetica, Tome 168 (2015) pp. 47-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-1-4/