On logarithmic integrals of the Riemann zeta-function and an approach to the Riemann hypothesis by a geometric mean with respect to an ergodic transformation

DOI10.1007/s40879-015-0073-1zbMath1359.11073OpenAlexW1716880701MaRDI QIDQ904681

Lahoucine Elaissaoui, Zine El-Abidine Guennoun

Publication date: 13 January 2016

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0073-1

zbMATH Keywords

Riemann zeta-functionentire functionsRiemann hypothesisergodic theorylogarithmic integralsCauchy distributed functionCauchy random walk

Mathematics Subject Classification ID

Related Items (5)

On expansions involving the Riemann zeta function and its derivatives ⋮ On relations equivalent to the generalized Riemann hypothesis for the Selberg class ⋮ Fourier expansion of the Riemann zeta function and applications ⋮ A central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation ⋮ A characterization of the zero-free region of the Riemann zeta function and its applications

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• Some Ω-theorems for the Riemann zeta-function
• Lévy Processes and Stochastic Calculus
• On the notion of recurrence in discrete stochastic processes
• Zeros of the derivatives of the Riemann zeta-function

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