Resultants of minimal polynomials of maximal real cyclotomic extensions

DOI10.1016/j.jnt.2015.06.002zbMath1400.11080OpenAlexW1408798698MaRDI QIDQ495296

K. Alan Loper, Nicholas J. Werner

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.002

zbMATH Keywords

resultantChebyshev polynomialcyclotomic polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials, factorization in commutative rings (13P05) Solving polynomial systems; resultants (13P15)

Related Items (1)

Resultants and discriminants of the multiplication polynomials of Jacobi elliptic functions

Cites Work

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• A chain rule for the resultant of two polynomials
• Homogeneous polynomials and the minimal polynomial of \(\cos(2\pi/n)\)
• Resultants of Chebyshev Polynomials: A Short Proof
• The Resultant of Chebyshev Polynomials
• The Minimal Polynomial of cos(2π/n)
• Another Proof of the Quadratic Reciprocity Theorem?
• Resultants of Cyclotomic Polynomials

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