Minimal Mahler measure in quartic Galois number fields

Illinois Journal of Mathematics 2026 Open access

Read full text
Authors: Bishnu Paudel, Kathleen L. Petersen, Hanjing Wang
DOI: 10.1215/00192082-12554020
Cited by: 0
References: 22

Abstract

We explore the dependence of the minimal integral Mahler measure of Galois quartic fields on the discriminant of the fields. We obtain density results that are conditional on the ABC conjecture, as well as several unconditional results.

Fields of Study & Subjects

advanced mathematical theories Analytic Number Theory Research Meromorphic and Entire Functions

Publication details

Journal / source
Illinois Journal of Mathematics
Publisher
Duke University Press
Volume
70
Issue
2
Pages
345-383
Publication date
1 June 2026
Language
EN