On the number of prime factors with a given multiplicity over \(h\)-free and \(h\)-full numbers

DOI10.1016/J.JNT.2024.08.007MaRDI QIDQ6633564

Yu-Ru Liu, Wentang Kuo, Sourabhashis Das

Publication date: 6 November 2024

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

zbMATH Keywords

normal orderprime-counting functionsprime factorsErdős-Kac theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05)

Cites Work

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• On an additive arithmetic function
• The normal number of prime factors of a number \(n\).
• The Gaussian law of errors in the theory of additive number theoretic functions.
• On the Distribution of Additive Number-Theoretic Functions (II)
• Number of prime factors with a given multiplicity
• SIEVING AND THE ERDŐS–KAC THEOREM
• On the Central Limit Theorem for the Prime Divisor Function
• On the Distribution of Additive Number-Theoretic Functions
• The number of prime factors in \(h\)-free and \(h\)-full polynomials over function fields

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