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/