Аннотация:
This is a survey paper on the distribution of arithmetical functions on some subsets of integers. Continuous
homomorphisms as arithmetical functions, and sets of uniqueness are also treated.
Ключевые слова:additive, multiplicative, $q$-additive, $q$-multiplicative functions, continuous homomorphism, sets of uniqueness, sets of uniqueness mod $1$, distribution of additive functions.