Distribution of the values of \(q\)-additive functions on some multiplicative semigroups II.

Abstract. In [1] we investigated the distribution of the values of \(q\)-additive functions defined on multiplicative semigroups which are generated by an infinite sequence of primes satisfying Wirsing's condition. In this work we extend our investigations started in [1] to polynomial sequences of such semigroups and its subsets which contain integers with a given number of prime divisors.