Distribution of arithmetical functions on some subsets of integers

• Date: 2018
• Main Author: Katai, Imre
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: additive; multiplicative; \(q\)-additive; \(q\)-multiplicative functions; continuous homomorphism; sets of uniqueness; sets of uniqueness mod \(1\); distribution of additive functions; 11N25; 11N60; 11A25; 11L07
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/860
• Journal Title: Algebra and Discrete Mathematics

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.