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number > number theory > arithmetic function > multiplicative function

Preferred term

multiplicative function  

Definition

  • In number theory, a multiplicative function is an arithmetic function f(n) of a positive integer n with the property that f(1) = 1 and
    whenever a and b are coprime. An arithmetic function f(n) is said to be completely multiplicative (or totally multiplicative) if f(1) = 1 and f(ab) = f(a)f(b) holds for all positive integers a and b, even when they are not coprime.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Multiplicative_function)

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http://data.loterre.fr/ark:/67375/PSR-W90JFV07-V

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Exactly matching concepts

https://en.wikipedia.org/wiki/Multiplicative_function
en.wikipedia.org
https://fr.wikipedia.org/wiki/Fonction_multiplicative
fr.wikipedia.org