Distribution of values of a real function. Means, moments, and symmetry

DOI10.1007/BF02567929zbMath0774.11044OpenAlexW2037945733MaRDI QIDQ1813540

Yves-François S. Pétermann

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155562

zbMATH Keywords

symmetryprime number theoremdistribution functiondistribution functionsEuler's functionabsolute momentasymptotic meansabsolute asymptotic meansigned asymptotic meansigned moment

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Arithmetic functions in probabilistic number theory (11K65)

Cites Work

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• Existence of all the asymptotic \(\lambda\)-th means for certain arithmetical convolutions
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• The moments of infinite series.
• On the Distribution Function of the Remainder Term of the Prime Number Theorem