On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions

Abstract

We give explicit upper bounds for coefficients of polynomials appearing in Gauss-Kraïtchik formula for cyclotomic polynomials. We use a certain relation between elementary symmetric polynomials and power sums polynomials.

arXiv comment11 pages, some explanation added, explicit formulae for $u_{d,1}$ and $u_{d,2}$ added