Minimal Mahler measure in real quadratic fields
Todd Cochrane, RMS Dissanayake, Nicholas Donohoue, MIM Ishak, Vincent, Pigno, Chris Pinner, Craig Spencer
TL;DR
This paper investigates bounds on the minimal height of irrational numbers within specific real quadratic fields, contributing to understanding their arithmetic complexity.
Contribution
It provides new bounds on the minimal height of irrational numbers in real quadratic fields, advancing the knowledge of their algebraic properties.
Findings
Established new upper bounds on minimal heights
Derived lower bounds for irrational numbers in quadratic fields
Enhanced understanding of algebraic number heights
Abstract
We consider upper and lower bounds on the minimal height of an irrational number lying in a particular real quadratic field.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic Number Theory Research · Mathematical Dynamics and Fractals · Meromorphic and Entire Functions