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A Generalization of the Erdös-Kac Theorem and its Applications

Published online by Cambridge University Press:  20 November 2018

Yu-Ru Liu
Yu-Ru Liu*
Affiliation:
Department of Pure Mathematics University of Waterloo Waterloo, ON N2L 3G1, e-mail: [email protected]
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Abstract

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We 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.

Keywords

11N6011N80
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 589 - 606
Copyright
Copyright © Canadian Mathematical Society 2004

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