Multiplicative Function
A function f(m) is called multiplicative if (m,m^')=1 (i.e., the statement that m and m^' are relatively prime) implies
| f(mm^')=f(m)f(m^') |
(Wilf 1994, p. 58).
Examples of multiplicative functions are the Möbius function and totient function.
See also
Completely Multiplicative Function, Möbius Function, Multiplicative Number Theoretic Function, Quadratic Residue, Totient FunctionExplore with Wolfram|Alpha
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References
Wilf, H. Generatingfunctionology, 2nd ed. New York: Academic Press, 1994.Referenced on Wolfram|Alpha
Multiplicative FunctionCite this as:
Weisstein, Eric W. "Multiplicative Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MultiplicativeFunction.html