New Erdős-Kac type theorems for signed measures on square-free integers

DOI10.1007/s10955-013-0885-7zbMath1291.11125OpenAlexW2047986485MaRDI QIDQ2016523

Maria Avdeeva, Dong Li, Yakov G. Sinai

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-013-0885-7

zbMATH Keywords

signed measuresquare-free integerErdős-Kac type theorem

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)

Cites Work

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• Smooth sums over smooth \(k\)-free numbers and statistical mechanics
• New limiting distributions for the Möbius function
• Ergodic properties of square-free numbers
• Non-standard Limit Theorems in Number Theory
• The Möbius function and statistical mechanics
• DISTRIBUTION FUNCTIONS OF ADDITIVE ARITHMETIC FUNCTIONS
• On a Theorem of Hardy and Ramanujan
• SIEVING AND THE ERDŐS–KAC THEOREM
• The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions
• Probability methods in some problems of analysis and number theory
• On the Distribution of Additive Number-Theoretic Functions

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