I need help with a problem I'm trying to solve:
In terms of n, what is the highest degree polynomial obtained when factoring x^{n}-y^{n }over the reals.
I have found the answer to be φ(n), but am unable to prove it. Can anybody help?
I need help with a problem I'm trying to solve:
In terms of n, what is the highest degree polynomial obtained when factoring x^{n}-y^{n }over the reals.
I have found the answer to be φ(n), but am unable to prove it. Can anybody help?
Hmm, Wikipedia, MathWorld, PlanetMath and Springer Encyclopedia of Mathematics disagree.