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Topic: Cyclotomic polynomial question
Replies: 4   Last Post: Feb 26, 2013 11:35 PM

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 Ken.Pledger@vuw.ac.nz Posts: 1,412 Registered: 12/3/04
Re: Cyclotomic polynomial question
Posted: Nov 5, 2012 3:06 PM

In article <afq6naFduk2U1@mid.dfncis.de>, <fc3a501@uni-hamburg.de>
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.

Ken Pledger.

Date Subject Author
11/5/12 Hauke Reddmann
11/5/12 Scott Berg
11/5/12 Ken.Pledger@vuw.ac.nz
11/6/12 UpChunky
2/26/13 wheierman@corunduminium.com