Talk:Dickson polynomial

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[edit] Schur conjecture reference

Howdy, I read through the Schur conjecture reference, and it only mentions the Chebyshev polynomials. Are these really just the same polynomials? If so, it seems weird to have separate articles, and if not it seems the reference doesn't support the claim. The material in this article seems interesting, the article on Chebyshev polynomials is already long, and there is a book with the title Dickson Polynomials, so it would be good to keep the articles split, but I'm not sure the relationship is totally clear yet.

More technical detail: so the Schur thingy only requires that one look at infinitely many primes, so it should be no issue to divide by 2, and I think we can assume alpha is a square mod infinitely many of the primes, but I am not sure about whether we can over the rationals. So I am not sure they are the same, just that Chebyshev polynomials are roughly speaking a subset of the Dickson polynomials. Why does the article only talk about Chebyshev polynomials then? Do they prove a stronger result than the one claimed in this wikipedia article? JackSchmidt (talk) 19:35, 8 February 2008 (UTC)