Maximum gap in (inverse) cyclotomic polynomial

DOI10.1016/j.jnt.2012.04.008zbMath1273.11051arXiv1101.4255OpenAlexW2053805340WikidataQ57430431 ScholiaQ57430431MaRDI QIDQ448219

Cheol-Min Park, Hoon Hong, Hyang-Sook Lee, Eun Jeong Lee

Publication date: 30 August 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4255

zbMATH Keywords

gapcoefficientscyclotomic polynomialinverse cyclotomic polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08)

Related Items (8)

Binary cyclotomic polynomials: representation via words and algorithms ⋮ A survey on coefficients of cyclotomic polynomials ⋮ On the number of terms of some families of the ternary cyclotomic polynomials Φ3p2p3 ⋮ Simple and exact formula for minimum loop length in \(\mathrm{Ate}_{i }\) pairing based on Brezing-Weng curves ⋮ Constrained ternary integers ⋮ Maximum gap in cyclotomic polynomials ⋮ On the Scaled Inverse of $(x^i-x^j)$ modulo Cyclotomic Polynomial of the form $\Phi_{p^s}(x)$ or $\Phi_{p^s q^t}(x)$ ⋮ Cyclotomic coefficients: gaps and jumps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cyclotomic polynomial coefficients \(a(n,k)\) with \(n\) and \(k\) in prescribed residue classes
• Inverse cyclotomic polynomials
• On the coefficients of ternary cyclotomic polynomials
• Simple and exact formula for minimum loop length in \(\mathrm{Ate}_{i }\) pairing based on Brezing-Weng curves
• A taxonomy of pairing-friendly elliptic curves
• Flat cyclotomic polynomials of order three
• Ternary cyclotomic polynomials having a large coefficient
• Efficient and Generalized Pairing Computation on Abelian Varieties
• Optimal Pairings
• On the Cyclotomic Polynomial $Phi\{pq} (X)$

This page was built for publication: Maximum gap in (inverse) cyclotomic polynomial