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number > number theory > arithmetic function > additive function

Preferred term

additive function  

Definition

  • In number theory, an additive function is an arithmetic function f(n) of the positive integer variable n such that whenever a and b are coprime, the function applied to the product ab is the sum of the values of the function applied to a and b:

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http://data.loterre.fr/ark:/67375/PSR-LRNJGWT7-P

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