On the bivariate Erdős–Kac theorem and correlations of the Möbius function

DOI10.1017/S0305004119000288zbMath1489.11153arXiv1612.09544OpenAlexW2967933855MaRDI QIDQ4958671

Alexander P. Mangerel

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09544

zbMATH Keywords

shiftnormal distributionChowla conjectureErdős-Kac theoremnumber of prime divisorstwo-variable

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

Three conjectures on \(P^+(n)\) and \(P^+(n+1)\) hold under the Elliott-Halberstam conjecture for friable integers ⋮ Correlation of multiplicative functions over Fq[x$\mathbb {F}_q[x]$: A pretentious approach] ⋮ Additive functions in short intervals, gaps and a conjecture of Erdős

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