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

• Autorzy: Masatoshi Suzuki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11M50: Relations with random matrices
• 11N64: Other results on the distribution of values or the characterization of arithmetic functions
• 11M26: Nonreal zeros of ζ ( s ) and L ( s , χ ) ; Riemann and other hypotheses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 170
• Numer: 1
• Strony: 47-65

Daty

wydano

2015

Twórcy

autor

Masatoshi Suzuki

• Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan

Identyfikatory

DOI

10.4064/aa170-1-4