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On fluctuations of Riemann’s zeta zeros (2012)

Springer

In: Probability Theory and Related Fields

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Publication Date: 2012-11-22

Description: It is shown that the normalized fluctuations of Riemann’s zeta zeros around their predicted locations follow the Gaussian law. It is also shown that fluctuations of two zeros, g k and g k + x , with $$x\sim \left( \log k\right) ^{\beta }, \beta 〉0,$$ for large k follow the two-variate Gaussian distribution with correlation ( 1 - b ) + . Content Type Journal Article Pages 1-30 DOI 10.1007/s00440-012-0465-9 Authors V. Kargin, Statistical Laboratory, Department of Mathematics, University of Cambridge, Cambridge, UK Journal Probability Theory and Related Fields Online ISSN 1432-2064 Print ISSN 0178-8051

Print ISSN: 0178-8051

Electronic ISSN: 1432-2064

Topics: Mathematics

Published by Springer

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