An analogue of Kolmogorov’s inequality for a class of additive arithmetic functions
An analogue of Kolmogorov’s inequality for a class of additive arithmetic functions
Let / be a complex valued additive number theoretic function (i.e., f(mri)-f(m)-\-f{ri) if m and n are relatively prime).This paper shows that Σ D 2 (p a )p~a = 0{D\n)) or Σ 1 f(p a )\p~a= z O(D(n)) (where the summations are over those p a g n, p a …