Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis (Q5860328)

scientific article; zbMATH DE number 7430630

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English	Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis	scientific article; zbMATH DE number 7430630

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instance of

scholarly article

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title

Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis (English)

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published in

Journal of Statistical Mechanics: Theory and Experiment

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publication date

19 November 2021

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full work available at URL

https://arxiv.org/abs/2101.10336

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zbMATH Keywords

Brownian motion

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author

Giuseppe Mussardo

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André Leclair

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describes a project that uses

Mathematica

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MaRDI profile type

MaRDI publication profile

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cites work

Number Theory in Science and Communication

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The classical theory of zeta and \(L\)-functions.

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Semiclassical formula for the number variance of the Riemann zeros

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THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE

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Some Riemann Hypotheses from random walks over primes

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The Möbius function and statistical mechanics

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Statistics and Prime Numbers

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Identifiers

Mathematics Subject Classification ID

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10.1088/1742-5468/AC22FB

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Sitelinks

Mathematics(1 entry)

mardi Publication:5860328