On the concentration of distribution of additive functions
نویسنده
چکیده
1. We say that g(n) is additive if g(mn)=g(m)+g(n) holds for every coprime pairs m, n of positive integers . If, moreover, g(p') =g(p)' for every prime power pa , then g(n) is called strongly additive . By p, pi , p2 , . . ., q, qr , q2 , . . . we denote prime numbers, c, Cl, c2i . . . are suitable positive constants . F(n) and x(n) denote the largest and the smallest prime factor of n . The symbol < is used instead of 0 ; ~ { } is the counting function of the set indicated in brackets { . } . For a distribution function H(x) let (p,(T) denote its characteristic function . Let
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