An Erdős-Kac theorem for systems of \(q\)-additive functions

DOI10.1016/S0019-3577(00)89084-9zbMath0988.11037MaRDI QIDQ5935904

Robert F. Tichy, Jörg M. Thuswaldner

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

\(q\)-additive functionslimiting laws

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Arithmetic functions in probabilistic number theory (11K65) Limit theorems in probability theory (60F99) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

The Erdős-Kac theorem for polynomials of several variables ⋮ On the prime power factorization of \(n\)! ⋮ Waring's problem with digital restrictions

Cites Work

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• On the arithmetic structure of sets characterized by sum of digits properties
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• On the joint distribution of \(q\)-additive functions in residue classes
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• On the arithmetic structure of the integers whose sum of digits is fixed
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Indépendance statistique d'ensembles liés à la fonction "somme des chiffres"
• The complex sum of digits function and primes

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