Name: A Generalization of the Erdös-Kac Theorem and its Applications
Creator: Liu, Yu-Ru
Keywords: Distribution functions associated with additive and positive multiplicative functions, asymptotic results on arithmetic functions, Erdős-Kac theorem, 13. Climate action, 11N80, Generalized primes and integers, 11N60, 0101 mathematics, 01 natural sciences, generalized primes

A generalization of the Erdős-Kac theorem and its applications

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2004 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 47, pages 589-606 (issn: 0008-4395, eissn: 1496-4287,

Authors: Liu, Yu-Ru;

doi: 10.4153/cmb-2004-057-4

handle: 10012/19993

A Generalization of the Erdös-Kac Theorem and its Applications

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Abstract

AbstractWe axiomatize the main properties of the classical Erdös-Kac Theorem in order to apply it to a general context. We provide applications in the cases of number fields, function fields, and geometrically irreducible varieties over a finite field.

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University of Waterloo
Canada

Keywords

Distribution functions associated with additive and positive multiplicative functions, asymptotic results on arithmetic functions, Erdős-Kac theorem, 11N80, Generalized primes and integers, 11N60, generalized primes

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