分野別セミナー

In this talk, we will present results on nearest neighbor spacing distributions for zeros of entire functions obtained by a sum of horizontal shifts of the Riemann xi-function. The first result is a description of the density functions of such nearest neighbor spacing distributions in terms of the M-function which is appeared in the theory of value distributions of the logarithmic derivative of the Riemann zeta-function on vertical lines. The second result is a limit behavior of the density function.
These results are based on recent works of Y. Ihara and K. Matsumoto.