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Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines

Volume 170 / 2015

Masatoshi Suzuki 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.

Authors

  • Masatoshi SuzukiDepartment of Mathematics
    Tokyo Institute of Technology
    2-12-1 Ookayama, Meguro-ku
    Tokyo 152-8551, Japan
    e-mail

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