Distribution of arithmetical functions on some subsets of integers

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.

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Bibliographic Details
Date:2018
Main Author: Katai, Imre
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/860
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-860
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-8602018-03-21T12:28:31Z Distribution of arithmetical functions on some subsets of integers Katai, Imre 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 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/860 Algebra and Discrete Mathematics; Vol 6, No 3 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/860/390 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-03-21T12:28:31Z
collection OJS
language English
topic 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
spellingShingle 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
Katai, Imre
Distribution of arithmetical functions on some subsets of integers
topic_facet 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
format Article
author Katai, Imre
author_facet Katai, Imre
author_sort Katai, Imre
title Distribution of arithmetical functions on some subsets of integers
title_short Distribution of arithmetical functions on some subsets of integers
title_full Distribution of arithmetical functions on some subsets of integers
title_fullStr Distribution of arithmetical functions on some subsets of integers
title_full_unstemmed Distribution of arithmetical functions on some subsets of integers
title_sort distribution of arithmetical functions on some subsets of integers
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/860
work_keys_str_mv AT kataiimre distributionofarithmeticalfunctionsonsomesubsetsofintegers
first_indexed 2025-07-17T10:30:38Z
last_indexed 2025-07-17T10:30:38Z
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