MathDB

Let

m

and

n

be integers greater than

2

, and let

A

and

B

be non-constant polynomials with complex coefficients, at least one of which has a degree greater than

1

. Prove that if the degree of the polynomial

A^m-B^n

is less than

\min(m,n)

, then

A^m=B^n

.
Proposed by Tobi Moektijono, Indonesia

Problem Statement