On a Problem of Fabrykowski and Subbarao Concerning Quasi Multiplicative Functions Satisfying a Congruence Property |
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| Authors: | J Fehér B M Phong |
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| Institution: | (1) Department of Mathematics, Janus Pannonius University, Ifjúság U. 6, H-7624 Pécs, Hungary E-mail;(2) Department of Computer Algebra, Eötvös Loránd University, Pázmány Péter Sét. 2. Inf. Ép, H-1117 Budapest, Hungary E-mail |
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| Abstract: | It follows from our result that if a quasi multiplicative function f satisfies the congruence f(n + p)  f(n) (mod p) for all positive integers n and for all sufficiently large primes p, then there is a non-negative integer  such that f(n) = n
holds for all positive integers n. In particular, this gives an answer to the conjecture of Fabrykowski and Subbarao. |
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