Monogenic trinomials with non-squarefree discriminant-Reference-Cited by-同舟云学术

Monogenic trinomials with non-squarefree discriminant

Published:2021-09-04 Issue:13 Volume:32 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Jones Lenny¹^ORCID,White Daniel²

Affiliation:

1. Department of Mathematics, Shippensburg University, 1871 Old Main Drive, Shippensburg, PA 17257, USA

2. Department of Mathematics, Bryn Mawr College, 101 North Merion Avenue, Bryn Mawr, PA 19010, USA

Abstract

For each integer [Formula: see text], we identify new infinite families of monogenic trinomials [Formula: see text] with non-squarefree discriminant, many of which have small Galois group. Moreover, in certain situations when [Formula: see text] with fixed [Formula: see text] and [Formula: see text], we produce asymptotics on the number of such trinomials with [Formula: see text].

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500890

Reference32 articles.

1. On certain pure sextic fields related to a problem of Hasse

2. Power integral bases for certain pure sextic fields

3. Squarefree values of trinomial discriminants

4. Advanced Topics in Computional Number Theory

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