On local laws for the number of small prime factors

DOI10.1007/s11139-019-00157-wzbMath1466.11064arXiv1803.09981OpenAlexW2964469416MaRDI QIDQ2301909

Gérald Tenenbaum

Publication date: 25 February 2020

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09981

zbMATH Keywords

saddle-point methodsmall prime factorslocal distribution of prime factorsrestricted prime factors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items

The local distribution of the number of small prime factors: variation of the classical theme

Cites Work

• Unnamed Item
• Unnamed Item
• Multiplicative functions, exponential sums and the law of large numbers
• On the number of prime factors of an integer
• Effective means for complex multiplicative functions
• A Turán-Kubilius inequality with multiplicative weights
• The local distribution of the number of small prime factors: variation of the classical theme
• Sur Les Densités de Certaines Suites D'Entiers
• Moyennes de certaines fonctions multiplicatives sur les entiers friables