A generalization of a theorem of Schinzel

Georges Rhin

Colloquium Mathematicae (2004)

  • Volume: 101, Issue: 2, page 155-159
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Georges Rhin. "A generalization of a theorem of Schinzel." Colloquium Mathematicae 101.2 (2004): 155-159. <http://eudml.org/doc/284365>.

@article{GeorgesRhin2004,
abstract = {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.},
author = {Georges Rhin},
journal = {Colloquium Mathematicae},
keywords = {Mahler measure; algebraic integer},
language = {eng},
number = {2},
pages = {155-159},
title = {A generalization of a theorem of Schinzel},
url = {http://eudml.org/doc/284365},
volume = {101},
year = {2004},
}

TY - JOUR
AU - Georges Rhin
TI - A generalization of a theorem of Schinzel
JO - Colloquium Mathematicae
PY - 2004
VL - 101
IS - 2
SP - 155
EP - 159
AB - 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.
LA - eng
KW - Mahler measure; algebraic integer
UR - http://eudml.org/doc/284365
ER -

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