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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2007, выпуск 3, страницы 87–98 (Mi adm223)

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

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.

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

Поступила в редакцию: 03.10.2005
Исправленный вариант: 27.01.2008

Язык публикации: английский



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