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1 results

  • On f(n) modulo Ω(n) and ω(n) when f is a polynomial

  • Part of
  • Florian Luca
  • Journal:
    Journal of the Australian Mathematical Society / Volume 77 / Issue 2 / October 2004
    Published online by Cambridge University Press:
    09 April 2009, pp. 149-164
    Print publication:
    October 2004
    • Article
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  • 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.