THE UNIFORM DISTRIBUTION OF SEQUENCES INVOLVING THE LARGEST PRIME FACTOR FUNCTION
Author:


2010 Mathematics Subject Classification:

11K16, 11N37, 11N41.

Keywords:

largest prime factor, normal numbers.

Abstract:

Let stand for the largest prime factor of , and let be a real valued function satisfying certain conditions. We prove that the sequence is uniformly distributed modulo 1. We also show an analogous result if is replaced by , the th largest prime factor of .

Download paper:


Vol. 8 (16), 2013
