Distribution of arithmetical functions on some subsets of integers

Imre Katai

Abstract


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.

Keywords


additive, multiplicative, \(q\)-additive, \(q\)-multiplicative functions, continuous homomorphism, sets of uniqueness, sets of uniqueness mod \(1\), distribution of additive functions

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