CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

A Note on Integer Symmetric Matrices and Mahler's Measure

  Published:2008-03-01
 Printed: Mar 2008
  • Edward Dobrowolski
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We find a lower bound on the absolute value of the discriminant of the minimal polynomial of an integral symmetric matrix and apply this result to find a lower bound on Mahler's measure of related polynomials and to disprove a conjecture of D. Estes and R. Guralnick.
Keywords: integer matrices, Lehmer's problem, Mahler's measure integer matrices, Lehmer's problem, Mahler's measure
MSC Classifications: 11C20, 11R06 show english descriptions Matrices, determinants [See also 15B36]
PV-numbers and generalizations; other special algebraic numbers; Mahler measure
11C20 - Matrices, determinants [See also 15B36]
11R06 - PV-numbers and generalizations; other special algebraic numbers; Mahler measure
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/