The Riemann zeta distribution

DOI10.2307/3318543zbMath0996.60013OpenAlexW2003428343MaRDI QIDQ5950046

Chin-Yuan Hu, Gwo Dong Lin

Publication date: 31 October 2002

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1079399543

zbMATH Keywords

Poisson distributionDirichlet seriesinfinite divisibilitygeometric distributioncompletely multiplicative functionJordan totient functionMangoldt functionRiemann zeta distribution (function)

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

Related Items (14)

Structural properties of generalised Planck distributions ⋮ A Riemann zeta stochastic process ⋮ Some characterizations and properties of COM-Poisson random variables ⋮ On Dirichlet series and functional equations ⋮ Asymptotic behaviors of convolution powers of the Riemann zeta distribution ⋮ On infinitely divisible distributions related to the Riemann hypothesis ⋮ Multidimensional Shintani zeta functions and zeta distributions on \(\mathbb{R}^d\) ⋮ Renewal sequences and record chains related to multiple zeta sums ⋮ Infinitely divisible Wald's couples. Examples linked with the Euler gamma and the Riemann zeta functions. ⋮ Families of power series distributions, with particular reference to the Lerch family ⋮ Scaling features of two special Markov chains involving total disasters ⋮ A modified Riemann zeta distribution in the critical strip ⋮ Some examples of multidimensional Shintani zeta distributions ⋮ A complete Riemann zeta distribution and the Riemann hypothesis

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