A Simple Proof of a Theorem of Landau

E. M. Wright
1954 Proceedings of the Edinburgh Mathematical Society  
Let a k {x) be the number of integers n^x which are the product of just k prime factors, so that and let TT k (x) be the number of such n for which all the p { are different. The behaviour of tt k (x) and a k (x) as x->co is given by
doi:10.1017/s0013091500021349 fatcat:joorx73gjnchxiep7l7t52tcri