Weighted Erdős-Kac theorem in short intervals

DOI10.1007/s11139-020-00343-1zbMath1469.11388OpenAlexW3128344319MaRDI QIDQ829633

Kui Liu, Jie Wu

Publication date: 6 May 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-020-00343-1

zbMATH Keywords

central limit theoremnumber of prime factorsnumber of divisorsErdős-Kac theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items

A weighted version of the Erdős-Kac theorem, Unnamed Item, Weighted Erdős–Kac type theorems in short intervals, Weighted Erdős-Kac type theorems over Gaussian field in short intervals

Cites Work

• The Selberg-Delange method in short intervals with some applications
• Central limit theorems for classical cusp forms
• Corrigendum to: ``Central limit theorems for classical cusp forms
• On the difference between consecutive primes
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