Geodesic
A Measure for Polynomials in Several Variables
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 185-191

Voir la notice de l'article provenant de la source Cambridge

DOI

We define a notion of measure for polynomials in several variables, basing our construction on the geometry of the zero-set of the polynomial. For polynomials in one variable, this measure reduces to the usual one. We begin the development of the theory of this measure along lines parallel to the theory of Mahler’s measure, indicating the differences and similarities between the two.Let P be a polynomial in one variable with complex coefficients, P(z) = a 0Π(z - αj ). The measure of P, denoted M(P), is defined by 1 As is well-known, an application of Jensen’s formula yields 2
DOI : 10.4153/CMB-1984-028-9
Mots-clés : 10F35, 32A30, 30C15, Mahler’s measure, integrals over spheres, Kronecker’s theorem 
Myerson, Gerald. A Measure for Polynomials in Several Variables. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 185-191. doi: 10.4153/CMB-1984-028-9
@article{10_4153_CMB_1984_028_9,
     author = {Myerson, Gerald},
     title = {A {Measure} for {Polynomials} in {Several} {Variables}},
     journal = {Canadian mathematical bulletin},
     pages = {185--191},
     year = {1984},
     volume = {27},
     number = {2},
     doi = {10.4153/CMB-1984-028-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-028-9/}
}
TY  - JOUR
AU  - Myerson, Gerald
TI  - A Measure for Polynomials in Several Variables
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 185
EP  - 191
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-028-9/
DO  - 10.4153/CMB-1984-028-9
ID  - 10_4153_CMB_1984_028_9
ER  - 
%0 Journal Article
%A Myerson, Gerald
%T A Measure for Polynomials in Several Variables
%J Canadian mathematical bulletin
%D 1984
%P 185-191
%V 27
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-028-9/
%R 10.4153/CMB-1984-028-9
%F 10_4153_CMB_1984_028_9

Cité par Sources :