English

The Mahler measure of algebraic numbers: a survey

Number Theory 2009-07-02 v2

Abstract

A survey of results for Mahler measure of algebraic numbers, and one-variable polynomials with integer coefficients is presented. Related results on the maximum modulus of the conjugates (`house') of an algebraic integer are also discussed. Some generalisations are given too, though not to Mahler measure of polynomials in more than one variable.

Keywords

Cite

@article{arxiv.math/0701397,
  title  = {The Mahler measure of algebraic numbers: a survey},
  author = {Chris Smyth},
  journal= {arXiv preprint arXiv:math/0701397},
  year   = {2009}
}