Recent content by meow91006

Can you help me prove this theorem regarding Fibonacci and Lucas numbers? Theorem. Let m,r ϵ Z and n be non-zero integer. Then U2mn+r ≡ (-1)mn Ur (mod Um) and V2mn+r ≡ (-1)mn Vr (mod Um).[FONT=arial]Im not that good at proving. This type of congruence is much harder than what I read in our...