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

Masatoshi Suzuki

Acta Arithmetica (2015)

  • Volume: 170, Issue: 1, page 47-65
  • ISSN: 0065-1036

Abstract

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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.

How to cite

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Masatoshi Suzuki. "Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines." Acta Arithmetica 170.1 (2015): 47-65. <http://eudml.org/doc/279413>.

@article{MasatoshiSuzuki2015,
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.},
author = {Masatoshi Suzuki},
journal = {Acta Arithmetica},
keywords = {Riemann xi-function; zeros; nearest neighbor spacing distributions; logarithmic derivative of the Riemann zeta-function; value distribution},
language = {eng},
number = {1},
pages = {47-65},
title = {Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines},
url = {http://eudml.org/doc/279413},
volume = {170},
year = {2015},
}

TY - JOUR
AU - Masatoshi Suzuki
TI - Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
JO - Acta Arithmetica
PY - 2015
VL - 170
IS - 1
SP - 47
EP - 65
AB - 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.
LA - eng
KW - Riemann xi-function; zeros; nearest neighbor spacing distributions; logarithmic derivative of the Riemann zeta-function; value distribution
UR - http://eudml.org/doc/279413
ER -

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