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ON ℚ-DERIVED POLYNOMIALS
Published online by Cambridge University Press: 20 January 2009
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.
AMS 2000 Mathematics subject classification: Primary 11G30
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 103 - 110
- Copyright
- Copyright © Edinburgh Mathematical Society 2001
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