Question

Prove the multiplicativity of the totient function. For His sake, don't use fields or rings T_T.

Answer 1

What I mean is I wanna prove this:\[\phi(ab\cdots yz) = \phi(a) \cdot \phi(b) \cdots \phi(y) \cdot \phi(z) \]

Answer 2

If \(\gcd(a,b\cdots,y,z) = 1\)

Answer 3

@amistre64 @sauravshakya @experimentX

Answer 4

No... coprime numbers.

Answer 5

U mean