multiplicative number-theoretic function

multiplicative number-theoretic function

[‚məl·tə¦plik·əə·iv ‚nəm·bər ‚thē·ə¦red·ik ′fəŋk·shən] (mathematics) A number theoretic function, ƒ, which has the properties that mn is in its range whenever m and n are, and that ƒ(mn) = ƒ(m)ƒ(n) whenever m and n are relatively prime.