The Mathematical Institute, University of Oxford, Eprints Archive

On Q-derived polynomials

Flynn, E. V. (2001) On Q-derived polynomials. Proceedings of the Edinburgh Mathematical Society, 44 . pp. 103-110. ISSN 0013-0915

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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.

Item Type:Article
Uncontrolled Keywords:Q-derived polynomials; covering techniques.
Subjects:A - C > Algebraic geometry
H - N > Number theory
Research Groups:Number Theory Group
ID Code:260
Deposited By:E. Victor Flynn
Deposited On:12 Jul 2006
Last Modified:20 Jul 2009 14:19

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