International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 383-386
doi:10.1155/S0161171290000576
Tau numbers, natural density, and Hardy and Wright's theorem 437
Robert E. Kennedy
and Curtis N. Cooper
Department of Mathematics and Computer Science, Central Missouri State University, Warrensburg 64093, MO, USA
Abstract
An element of the set T= {n:τ(n) is a factor of n} is called a Tau number, where τ(n) denotes the number of divisors of the integer n. We determine the natural density of this set by use of Hardy and Wright's Theorem 437 (4th ed.).