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On the Gaussian Law of Errors in the Theory of Additive Functions

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Publication:5774055
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DOI10.1073/pnas.25.4.206zbMath0021.20702OpenAlexW2017094519WikidataQ24522146 ScholiaQ24522146MaRDI QIDQ5774055

Mark Kac, Paul Erdős

Publication date: 1939

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.25.4.206

zbMATH Keywords

Number theory


Mathematics Subject Classification ID

Distribution functions associated with additive and positive multiplicative functions (11N60)


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Simultaneous distribution of \(S(n)\) and \(S(n+1)\) in arithmetic progressions, Functional analysis and additive arithmetic functions, Weighted Erdős–Kac type theorems in short intervals, Not all (possibly) “random” sequences are created equal, General asymptotic distributions for additive arithmetic functions, Two new proofs of the Erdös–Kac Theorem, with bound on the rate of convergence, by Stein's method for distributional approximations, Jonas Kubilius and probabilistic number theory some personal reflections, Weighted Erdős-Kac type theorem over quadratic field in short intervals



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