Imre Kátai, “Distribution of arithmetical functions on some subsets of integers”, Algebra Discrete Math., 2007, Issue 3,Pages <nobr>87

SURVEY ARTICLE

Distribution of arithmetical functions on some subsets of integers

Imre Kátai

Department of Computer Algebra, Eötvös Loránd University, Pázmány Péter sétány 1/C, H–1117 Budapest, Hungary

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.

MSC: 11N25, 11N60, 11A25, 11L07

Received: 03.10.2005
Revised: 27.01.2008

Language: English