Mahler's Measure of a Polynomial in Function of the Number of its Coefficients
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 186-195
Voir la notice de l'article provenant de la source Cambridge
Mahler's measure of a monic polynomial is equal to the product of modules of its roots which lie outside the unit circle. By classical theorem of Kronecker it is strictly greater than 1 for any polynomial that is not a product of cyclotomic factors. In this case a number of lower bounds of the measure, depending either on the degree of the polynomial or on the number of its non-zero coefficients, has been found. Here is given an improvement of the bound of the latter type previously found by the author, A. Schinzel and W. Lawton.
Dobrowolski, Edward. Mahler's Measure of a Polynomial in Function of the Number of its Coefficients. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 186-195. doi: 10.4153/CMB-1991-030-5
@article{10_4153_CMB_1991_030_5,
author = {Dobrowolski, Edward},
title = {Mahler's {Measure} of a {Polynomial} in {Function} of the {Number} of its {Coefficients}},
journal = {Canadian mathematical bulletin},
pages = {186--195},
year = {1991},
volume = {34},
number = {2},
doi = {10.4153/CMB-1991-030-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-030-5/}
}
TY - JOUR AU - Dobrowolski, Edward TI - Mahler's Measure of a Polynomial in Function of the Number of its Coefficients JO - Canadian mathematical bulletin PY - 1991 SP - 186 EP - 195 VL - 34 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-030-5/ DO - 10.4153/CMB-1991-030-5 ID - 10_4153_CMB_1991_030_5 ER -
%0 Journal Article %A Dobrowolski, Edward %T Mahler's Measure of a Polynomial in Function of the Number of its Coefficients %J Canadian mathematical bulletin %D 1991 %P 186-195 %V 34 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-030-5/ %R 10.4153/CMB-1991-030-5 %F 10_4153_CMB_1991_030_5
Cité par Sources :