Ternary cyclotomic polynomials having a large coefficient

DOI10.1515/CRELLE.2009.052zbMath1230.11030arXiv0712.2365OpenAlexW2962733811MaRDI QIDQ3395151

Yves Gallot, Pieter Moree

Publication date: 24 August 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2365

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Special sequences and polynomials (11B83)

Related Items (18)

Bounds for the maximal height of divisors of \(x^n - 1\) ⋮ Coefficients of a relative of cyclotomic polynomials ⋮ A survey on coefficients of cyclotomic polynomials ⋮ CYCLOTOMIC POLYNOMIALS WITH PRESCRIBED HEIGHT AND PRIME NUMBER THEORY ⋮ Modular hyperbolas ⋮ Products of cyclotomic polynomials on unit circle ⋮ A specific family of cyclotomic polynomials of order three ⋮ Maximum gap in (inverse) cyclotomic polynomial ⋮ Constrained ternary integers ⋮ On modular inverses of cyclotomic polynomials and the magnitude of their coefficients ⋮ Coefficients of ternary cyclotomic polynomials ⋮ Cyclotomic coefficients: gaps and jumps ⋮ The Coefficients of Cyclotomic Polynomials ⋮ Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses ⋮ On a generalization of the Beiter Conjecture ⋮ Inverse cyclotomic polynomials ⋮ On a problem regarding coefficients of cyclotomic polynomials ⋮ The maximal coefficient of ternary cyclotomic polynomials with one free prime

Cites Work

• Inverse cyclotomic polynomials
• On the coefficients of ternary cyclotomic polynomials
• Equidistribution of roots of a quadratic congruence to prime moduli
• Flat cyclotomic polynomials of order three
• Some properties of the cyclotomic polynomial
• Über die Koeffizienten des \(n\)-ten Kreisteilungspolynoms
• Magnitude of the coefficients of the cyclotomic polynomial \(F_{pqr}\). II
• On the Cyclotomic Polynomial $Phi\{pq} (X)$
• Magnitude of the Coefficients of the Cyclotomic Polynomial F pqr (x)
• On the Coefficients of the Cyclotomic Polynomials
• On the magnitude of the coefficients of the cyclotomic polynomial

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