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Resultants of Chebyshev Polynomials: A Short Proof

  Published:2012-03-05
 Printed: Sep 2013
  • Stéphane R. Louboutin,
    Institut de Mathématiques de Luminy, UMR 6206, 163, avenue de Luminy, Case 907, 13288 Marseille Cedex 9, FRANCE
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Abstract

We give a simple proof of the value of the resultant of two Chebyshev polynomials (of the first or the second kind), values lately obtained by D. P. Jacobs, M. O. Rayes and V. Trevisan.
Keywords: resultant, Chebyshev polynomials, cyclotomic polynomials resultant, Chebyshev polynomials, cyclotomic polynomials
MSC Classifications: 11R09, 11R04 show english descriptions Polynomials (irreducibility, etc.)
Algebraic numbers; rings of algebraic integers
11R09 - Polynomials (irreducibility, etc.)
11R04 - Algebraic numbers; rings of algebraic integers
 

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