A Note on Integer Symmetric Matrices and Mahler's Measure
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 57-59
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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.
Mots-clés :
11C20, 11R06, Integer matrices, Lehmer's problem, Mahler's measure
Dobrowolski, Edward. A Note on Integer Symmetric Matrices and Mahler's Measure. Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 57-59. doi: 10.4153/CMB-2008-007-9
@article{10_4153_CMB_2008_007_9,
author = {Dobrowolski, Edward},
title = {A {Note} on {Integer} {Symmetric} {Matrices} and {Mahler's} {Measure}},
journal = {Canadian mathematical bulletin},
pages = {57--59},
year = {2008},
volume = {51},
number = {1},
doi = {10.4153/CMB-2008-007-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-007-9/}
}
TY - JOUR AU - Dobrowolski, Edward TI - A Note on Integer Symmetric Matrices and Mahler's Measure JO - Canadian mathematical bulletin PY - 2008 SP - 57 EP - 59 VL - 51 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-007-9/ DO - 10.4153/CMB-2008-007-9 ID - 10_4153_CMB_2008_007_9 ER -
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