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A Generalization of the Erdös-Kac Theorem and its Applications

Published:2004-12-01
Printed: Dec 2004
• Yu-Ru Liu
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Abstract

We axiomatize the main properties of the classical Erd\"os-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.
 MSC Classifications: 11N60 - Distribution functions associated with additive and positive multiplicative functions 11N80 - Generalized primes and integers