A Generalization of the Erdös-Kac Theorem and its Applications
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Date
2004-12-01
Authors
Liu, Yu-Ru
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Abstract
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.
Description
This article has been published in a revised form in the Canadian Mathematical Bulletin https://doi.org/10.4153/CMB-2004-057-4. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © 2004 Canadian Mathematical Bulletin.
Keywords
11N60, 11N80