The minimal polynomial of \(2 \cos(\pi /q)\) and Dickson polynomials

DOI10.1016/j.amc.2011.12.044zbMath1270.11021OpenAlexW2087889725MaRDI QIDQ434657

Abdelmejid Bayad, Ismail Naci Cangul

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.044

zbMATH Keywords

Chebyshev polynomialsHecke groupsMöbius inversioncyclotomic polynomialsminimal polynomialsDickson polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Polynomials in number theory (11C08) Structure of modular groups and generalizations; arithmetic groups (11F06) Special sequences and polynomials (11B83)

Related Items (5)

Hecke groups, linear recurrences, and Kepler limits ⋮ A geometric property of the roots of Chebyshev polynomials ⋮ When is a product of finite order qubit gates of infinite order? ⋮ Unnamed Item ⋮ Linear groups related to Fibonacci polynomials

Cites Work

• Unnamed Item
• Homogeneous polynomials and the minimal polynomial of \(\cos(2\pi/n)\)
• Primality testing with Gaussian periods
• On a conjecture of Schur
• The Minimal Polynomial of cos(2π/n)
• Normal subgroups of Hecke groups and regular maps

This page was built for publication: The minimal polynomial of \(2 \cos(\pi /q)\) and Dickson polynomials