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Some functional equations originating from number theory
Authors:Soon-Mo Jung  Jae-Hyeong Bae
Affiliation:(1) Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701 Chochiwon, Korea;(2) Department of Mathematics, Chungnam National University, 305-764 Daejon, Korea
Abstract:We will introduce new functional equations (3) and (4) which are strongly related to well-known formulae (1) and (2) of number theory, and investigate the solutions of the equations. Moreover, we will also study some stability problems of those equations.
Keywords:Functional equation  stability  multiplicative function
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