If α and β are multiplicative functions, prove that the function f(n) defined by f(n) = α(n)β(n)

is a multiplicative function.

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- Aug 17th 2012, 12:51 AMmusngiburgerProblem on functions?
If α and β are multiplicative functions, prove that the function f(n) defined by f(n) = α(n)β(n)

is a multiplicative function. - Aug 17th 2012, 02:22 AMDevenoRe: Problem on functions?
suppose gcd(k,m) = 1.

then f(km) = α(km)β(km) = α(k)α(m)β(k)β(m) = α(k)β(k)α(m)β(m) = ? - Nov 9th 2012, 06:44 AMhappyroseRe: Problem on functions?
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