A complete Riemann zeta distribution and the Riemann hypothesis

DOI10.3150/13-BEJ581zbMath1328.60048arXiv1504.03438OpenAlexW3099401632MaRDI QIDQ2345134

Takashi Nakamura

Publication date: 19 May 2015

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.03438

zbMATH Keywords

characteristic functionzeta functionRiemann hypothesisinfinitely divisible distributionLévy-Khintchine representation

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (13)

Quasi-infinite divisibility of a class of distributions with discrete part ⋮ A criterion of quasi-infinite divisibility for discrete laws ⋮ A Cramér-Wold device for infinite divisibility of \(\mathbb{Z}^d \)-valued distributions ⋮ Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels ⋮ On weak convergence of quasi-infinitely divisible laws ⋮ On quasi-infinitely divisible random measures ⋮ On infinitely divisible distributions related to the Riemann hypothesis ⋮ Spectral representations of characteristic functions of discrete probability laws ⋮ The measure transition problem for meromorphic polar functions ⋮ On convergence and compactness in variation with a shift of discrete probability laws ⋮ Spectral representations of quasi-infinitely divisible processes ⋮ Compactness criteria for quasi-infinitely divisible distributions on the integers ⋮ On multivariate quasi-infinitely divisible distributions

Cites Work

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• Properties of stationary distributions of a sequence of generalized Ornstein-Uhlenbeck processes
• On decomposability semigroups on the real line
• A modified Riemann zeta distribution in the critical strip
• The Riemann zeta distribution

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