Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra and Discrete Mathematics, 2007, Issue 3, Pages 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
Full-text PDF (232 kB)
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.
Received: 03.10.2005
Revised: 27.01.2008
Bibliographic databases:
Document Type: Article
MSC: 11N25, 11N60, 11A25, 11L07
Language: English
Citation: Imre Kátai, “Distribution of arithmetical functions on some subsets of integers”, Algebra Discrete Math., 2007, no. 3, 87–98
Citation in format AMSBIB
\Bibitem{Kat07}
\by Imre~K\'atai
\paper Distribution of arithmetical functions on some subsets of integers
\jour Algebra Discrete Math.
\yr 2007
\issue 3
\pages 87--98
\mathnet{http://mi.mathnet.ru/adm223}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2423700}
\zmath{https://zbmath.org/?q=an:1164.11047}
Linking options:
  • https://www.mathnet.ru/eng/adm223
  • https://www.mathnet.ru/eng/adm/y2007/i3/p87
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:183
    Full-text PDF :76
    References:6
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025