On additive functions satisfying some congruence properties
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 \(f\equiv 0\).
scientific article; zbMATH DE number 60714