Cyclotomic polynomials at roots of unity

DOI10.4064/aa170112-20-12zbMath1435.11060arXiv1611.06783OpenAlexW2963441604MaRDI QIDQ4581962

Bartłomiej Bzdȩga, Pieter Moree, Andrés Herrera-Poyatos

Publication date: 21 August 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06783

zbMATH Keywords

resultantcyclotomic polynomialcyclotomic coefficientvalue at root of unityVaughan's theorem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09)

Related Items (14)

Cyclotomic factors of necklace polynomials ⋮ The resultant, the discriminant, and the derivative of generalized Fibonacci polynomials ⋮ Infinitely many roots of unity are zeros of some Jones polynomials ⋮ On Symmetric But Not Cyclotomic Numerical Semigroups ⋮ Coprime partitions and Jordan totient functions ⋮ Large absolute values of cyclotomic polynomials at roots of unity ⋮ A survey on coefficients of cyclotomic polynomials ⋮ Infinitely Many Knots With NonIntegral Trace ⋮ Finitely generated abelian groups of units ⋮ Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez) ⋮ Jordan totient quotients ⋮ Unitary cyclotomic polynomials ⋮ Explicit height bounds for \(K\)-rational points on transverse curves in powers of elliptic curves ⋮ Curious congruences for cyclotomic polynomials

Cites Work

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