A Generalization of the Erdös-Kac Theorem and its Applications
Printed: Dec 2004
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.
11N60 - Distribution functions associated with additive and positive multiplicative functions
11N80 - Generalized primes and integers