Some Functional Equations Originating from Number Theory

[摘要] 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.

[学科分类] 数学（综合）

[关键词] Functional equation;stability;multiplicative function.