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2007 Equality of Polynomial and Field Discriminants
Avner Ash, Jos Brakenhoff, Theodore Zarrabi
Experiment. Math. 16(3): 367-374 (2007).

Abstract

We give a conjecture concerning when the discriminant of an irreducible monic integral polynomial equals the discriminant of the field defined by adjoining one of its roots to $ \Q$. We discuss computational evidence for it. An appendix by the second author gives a conjecture concerning when the discriminant of an irreducible monic integral polynomial is square-free and some computational evidence for it.

Citation

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Avner Ash. Jos Brakenhoff. Theodore Zarrabi. "Equality of Polynomial and Field Discriminants." Experiment. Math. 16 (3) 367 - 374, 2007.

Information

Published: 2007
First available in Project Euclid: 7 March 2008

zbMATH: 1166.11035
MathSciNet: MR2367325

Subjects:
Primary: 11R29
Secondary: 11C08

Rights: Copyright © 2007 A K Peters, Ltd.

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Vol.16 • No. 3 • 2007
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