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A Generalization of the Erdös-Kac Theorem and its Applications

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2004-erdos-kac.pdf (264.6 KB)

Date

2004-12-01

Authors

Liu, Yu-Ru

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

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Citation

URI

https://doi.org/10.4153/CMB-2004-057-4
 http://hdl.handle.net/10012/19993

Collections

Waterloo Research