On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
Number Theory
2026-03-26 v7
Abstract
We give explicit upper bounds for coefficients of polynomials appearing in Gauss-Kra\"{i}tchik formula for cyclotomic polynomials. We use a certain relation between elementary symmetric polynomials and power sums polynomials.
Keywords
Cite
@article{arxiv.2402.15747,
title = {On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions},
author = {Tomohiro Yamada},
journal= {arXiv preprint arXiv:2402.15747},
year = {2026}
}
Comments
11 pages, some explanation added, explicit formulae for $u_{d, 1}$ and $u_{d, 2}$ added