Geodesic
A generalization of a theorem of Schinzel
Georges Rhin1
1 UMR CNRS 7122, Département de Mathématiques, UFR MIM Université de Metz Île du Saulcy 57045 Metz Cedex 01, France
Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 155-159 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give lower bounds for the Mahler measure of totally positive algebraic integers. These bounds depend on the degree and the discriminant. Our results improve earlier ones due to A. Schinzel. The proof uses an explicit auxiliary function in two variables.
DOI : 10.4064/cm101-2-2
Keywords: lower bounds mahler measure totally positive algebraic integers these bounds depend degree discriminant results improve earlier due schinzel proof uses explicit auxiliary function variables

Georges Rhin 1

1 UMR CNRS 7122, Département de Mathématiques, UFR MIM Université de Metz Île du Saulcy 57045 Metz Cedex 01, France 
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Georges Rhin. A generalization of a theorem of Schinzel. Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 155-159. doi: 10.4064/cm101-2-2

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