Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
Volume 170 / 2015
Acta Arithmetica 170 (2015), 47-65
MSC: Primary 11M26; Secondary 11M50, 11N64.
DOI: 10.4064/aa170-1-4
Abstract
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.
