A Note on Integer Symmetric Matrices and Mahler's Measure

• Autores: Edward Dobrowolski
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 51, Nº 1, 2008, págs. 57-59
• Idioma: inglés
• DOI: 10.4153/cmb-2008-007-9
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• Resumen

  • 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.