On the Distribution of Additive Number-Theoretic Functions

DOI10.1112/JLMS/S1-30.1.43zbMath0064.04202OpenAlexW2065456851MaRDI QIDQ5847297

Heini Halberstam

Publication date: 1955

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s1-30.1.43

zbMATH Keywords

distribution of additive functions

Mathematics Subject Classification ID

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

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Generalization of Erdős-Kac theorem ⋮ A weighted version of the Erdős-Kac theorem ⋮ On the number of restricted prime factors of an integer ⋮ An all-purpose Erdős-Kac theorem ⋮ On the number of irreducible factors with a given multiplicity in function fields ⋮ The distribution of sums and products of additive functions ⋮ Classical and almost sure local limit theorems ⋮ On the use of the method of moments for the study of additive functions ⋮ Unnamed Item ⋮ New Erdős-Kac type theorems for signed measures on square-free integers ⋮ Prime analogues of the Erdős-Kac theorem for elliptic curves ⋮ A short note on some arithmetical properties of the integer part of alpha p ⋮ Über die Summe \(\sum_{n \leqq x}\varphi(f(n))\) und verwandte Probleme ⋮ A law of the iterated logarithm for arithmetic functions

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