Geodesic
Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
Masatoshi Suzuki1
1Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku Tokyo 152-8551, Japan
Acta Arithmetica, Tome 170 (2015) no. 1, pp. 47-65
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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.
DOI : 10.4064/aa170-1-4
Keywords: density functions nearest neighbor spacing distributions zeros real imaginary part riemann xi function vertical lines described m function which appears value distribution logarithmic derivative riemann zeta function vertical lines

Masatoshi Suzuki  1

1 Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku Tokyo 152-8551, Japan 
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     title = {Nearest neighbor spacing distributions for
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     journal = {Acta Arithmetica},
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     doi = {10.4064/aa170-1-4},
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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, Tome 170 (2015) no. 1, pp. 47-65. doi: 10.4064/aa170-1-4

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