Distribution of additive and $q$-additive functions under some conditions. II.
Copyright policy )Distribution of additive and $q$-additive functions under some conditions. II.
Let \(f\) be an additive function having a limiting distribution as described by the Erdős-Wintner theorem. The authors show that it also has a limiting distribution on integers having a given number of prime divisors, that is, an asymptotic is given for \(\# \{n\leq x: \Omega (n)=k, f(n)
- University of Alberta Canada
Distribution functions associated with additive and positive multiplicative functions, Arithmetic functions in probabilistic number theory, distribution functions, limit distribution, \(q\)-additive functions, Diophantine approximation in probabilistic number theory, additive functions, special conditions
Distribution functions associated with additive and positive multiplicative functions, Arithmetic functions in probabilistic number theory, distribution functions, limit distribution, \(q\)-additive functions, Diophantine approximation in probabilistic number theory, additive functions, special conditions
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