On certain averages of omega(n)

DOI10.3792/pjaa.56.474zbMath0466.10036OpenAlexW2092707864MaRDI QIDQ1155091

Leo Murata

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.474

zbMATH Keywords

averagesnumber of distinct prime factorstotal number of prime factorsasymptotic formula for mean value

Mathematics Subject Classification ID

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

Cites Work

• On the Distribution of Additive Number-Theoretic Functions (II)
• On the large sieve
• On the number of primes p for which p+a has a large prime factor
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