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On f(n) modulo Ω(n) and ω(n) when f is a polynomial
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we show that if f (X) ∈; Z [X ] is a nonzero polynomial, then ω(n)/f(n) holds only on a set of n of asymptotic density zero, where for a positive integer n the number ω(n) counts the number of distinct prime factors ofn.
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- Research Article
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- Copyright © Australian Mathematical Society 2004
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