Smooth sums over smooth \(k\)-free numbers and statistical mechanics

zbMath1304.11106arXiv1304.6610MaRDI QIDQ2249145

Francesco Cellarosi

Publication date: 9 July 2014

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6610

zbMATH Keywords

weak convergencecharacteristic functionaverage orderarithmetic functionsmooth number\(k\)-free number\(\alpha\)-convolutionsmooth sumthe Dickman-de Bruin distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Asymptotic results on arithmetic functions (11N37) Convergence of probability measures (60B10) Arithmetic functions in probabilistic number theory (11K65)

Related Items (2)

New Erdős-Kac type theorems for signed measures on square-free integers ⋮ Smooth arithmetical sums over k-free integers

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