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arxiv: 1409.5394 · v1 · pith:UJORF2PVnew · submitted 2014-09-18 · 🧮 math.NT

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

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keywords distributionslinesriemannverticalimaginarynearestneighborpart
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We show that the density functions of nearest neighbor spacing distributions for zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which is appeared in value distributions of the logarithmic derivative of the Riemann zeta-function on vertical lines.

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