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Resultants of Chebyshev Polynomials: A Short Proof

Published online by Cambridge University Press:  20 November 2018

Stéphane R. Louboutin
Stéphane R. Louboutin*
Affiliation:
Institut de Mathématiques de Luminy, UMR 6206, 163, avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France e-mail: [email protected]
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Abstract.

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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

11R0911R04resultantChebyshev polynomialscyclotomic polynomials
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 602 - 605
Copyright
Copyright © Canadian Mathematical Society 2013

References

[Apo] Apostol, T. M., Resultants of cyclotomic polynomials. Proc. Amer. Math. Soc. 24 (1970, 457–462. http://dx.doi.org/10.1090/S0002-9939-1970-0251010-X Google Scholar
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[JRT] Jacobs, D. P., Rayes, M. O., and Trevisan, V., The resultant of Chebyshev polynomials. Canad Math. Bull. 54 (2011, 288–296.Google Scholar
[Lou] Louboutin, S., Resultants of cyclotomic polynomials. Publ. Math. Debrecen 50 (1997, no. 1–2, 75–77.Google Scholar