Minimal Mahler measure in real quadratic fields

Todd Cochrane; RMS Dissanayake; Nicholas Donohoue; MIM Ishak; Vincent Pigno; Chris Pinner; Craig Spencer

Minimal Mahler measure in real quadratic fields

Number Theory 2014-10-17 v1

Authors: Todd Cochrane , RMS Dissanayake , Nicholas Donohoue , MIM Ishak , Vincent Pigno , Chris Pinner , Craig Spencer

Abstract

We consider upper and lower bounds on the minimal height of an irrational number lying in a particular real quadratic field.

Keywords

Mahler measure real quadratic fields minimal height irrational number upper and lower bounds

Cite

@article{arxiv.1410.4482,
  title  = {Minimal Mahler measure in real quadratic fields},
  author = {Todd Cochrane and RMS Dissanayake and Nicholas Donohoue and MIM Ishak and Vincent Pigno and Chris Pinner and Craig Spencer},
  journal= {arXiv preprint arXiv:1410.4482},
  year   = {2014}
}