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Concept
Multiplicative Function
A
multiplicative function
is a
number-theoretic function
f(n) such that for any two coprime
positive integers
a and b, the equation f(ab) = f(a)f(b) holds. These functions are fundamental in
analytic number theory
and are characterized by their
behavior on prime powers
, which determines their
values on all integers
.
Relevant Degrees
Number Theory 78%
Algebra 22%
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