On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions

Fuente: arXiv
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Autore principale: Yamada, Tomohiro
Natura: Preprint
Pubblicazione: 2024
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author Yamada, Tomohiro
author_facet Yamada, Tomohiro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15747
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
Yamada, Tomohiro
Number Theory
11B83 (Primary) 05A19, 05E05, 11C08, 11R09, 11R18, 11T22, 12E05 (Secondary)
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.
title On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
topic Number Theory
11B83 (Primary) 05A19, 05E05, 11C08, 11R09, 11R18, 11T22, 12E05 (Secondary)
url https://arxiv.org/abs/2402.15747