High Quality Content by WIKIPEDIA articles! In mathematics the term additive function has two different definitions, depending on the specific field of application.In algebra an additive function (or additive map) is a function that preserves the addition operation, for any two elements x and y in the domain. For example, any linear map is additive. When the domain is the real numbers, this is Cauchy's functional equation. In number theory, an additive function is an arithmetic function f(n) of the positive integer n such that whenever a and b are coprime, the function of the product is the sum of the functions.

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