In article <afq6naFduk2U1@mid.dfncis.de>, <firstname.lastname@example.org> wrote:
> Clearly X^B*(1-X)*(1+-X^A+X^(2A)) are cyclotomic polynomials > of the form X^P+X^Q+X^R-X^S-X^T-X^U (don't worry about the > X=0 stuff, I'm just too lazy to divide it out properly) but > are it the *only* ones? The (1-X) factor is obvious but the > rest might telescope, e.g. like in (1-X)*(1+X^3+X^4+X^6). > (The latter factor isn't cyclotomic...but COULD it be?)
Are you saying exactly what you mean? Cyclotomic polynomials are irreducible over Z, so can't have factors as you described.