Nearest neighbor spacing distributions for zeros of the real or   imaginary part of the Riemann xi-function on vertical lines
  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. 
Masatoshi Suzuki
math.NT