Hypercyclic and chaotic convolution operators associated with the Dunkl operator on C
2005
We show that there exist infinitely many positive integers m not of the form n -o( n ) for any positive integer n . Here, o( n ) stands for the number of distinct prime factors of n . A similar result holds with o( n ) replaced by the total number of prime factors of n (counting multiplicities), or by the number of divisors of n .
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