Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T11:39:12.389Z Has data issue: false hasContentIssue false
  • English
  • Français

THE MAHLER MEASURE OF POLYNOMIALS WITH ODD COEFFICIENTS

Published online by Cambridge University Press:  28 April 2004

PETER BORWEIN ,
KEVIN G. HARE  and
MICHAEL J. MOSSINGHOFF
PETER BORWEIN
Affiliation:
Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B.C. V5A 1S6, [email protected]
KEVIN G. HARE
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, [email protected]
MICHAEL J. MOSSINGHOFF
Affiliation:
Department of Mathematics, Davidson College, Davidson, NC 28035, [email protected]
Get access

Abstract

The minimum value of the Mahler measure of a nonreciprocal polynomial whose coefficients are all odd integers is proved here to be the golden ratio. The smallest measures of reciprocal polynomials with $\pm1$ coefficients and degree at most 72 are also determined.

Keywords

11R09 (primary)11C0811Y40 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 3 , May 2004 , pp. 332 - 338
Copyright
© The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)