On additive functions satisfying some congruence properties
type: Item
instance of: scholarly article
title: On additive functions satisfying some congruence properties
zbMATH Open document ID: 0756.11002
DOI: 10.1007/BF02278037
author: S. Singh
published in: Periodica Mathematica Hungarica
publication date: 1992-09-27T00:00:00Z
review text: The author proves four analogous theorems to some results of \textit{M. V. Subbarao} and \textit{A. Iványi} (see the previous review) for integer- valued additive and completely additive functions. One of the theorems states that if \(f\) is an integer-valued completely additive function and \(f(n+m)\equiv f(n)\pmod n\) holds for a fixed non-zero integer \(m\) and for every positive integer \(n\), then \(f\equiv 0\).
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11A07
zbMATH DE Number: 60714
zbMATH Keywords: additive functions
zbMATH Keywords: congruences
zbMATH Keywords: completely additive function
reviewed by: László Tóth
MaRDI profile type: Publication
cites work: Q4006305
cites work: Multiplicative functions satisfying a congruence property. V
cites work: Arithmetic Functions Satisfying a Congruence Property
full work available at URL: https://doi.org/10.1007/bf02278037
OpenAlex ID: W1965506897
description: scientific article; zbMATH DE number 60714