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On Q-derived polynomials

Abstract:
It is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivatives have all their roots in Q) can be completely classified subject to two conjectures: that no quartic with four distinct roots is Q-derived, and that no quintic with a triple root and two other distinct roots is Q-derived. We prove the second of these conjectures.

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E. V. Flynn More by this author
Publication date:
2001
URN:
uuid:7a835bab-df0a-479c-b7b1-4ca10c54cbe6
Local pid:
oai:eprints.maths.ox.ac.uk:260

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