## Experimental Mathematics

### Equality of Polynomial and Field Discriminants

#### 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.

#### Article information

Source
Experiment. Math., Volume 16, Issue 3 (2007), 367-374.

Dates
First available in Project Euclid: 7 March 2008

https://projecteuclid.org/euclid.em/1204928536

Mathematical Reviews number (MathSciNet)
MR2367325

Zentralblatt MATH identifier
1166.11035

Subjects
Primary: 11R29: Class numbers, class groups, discriminants