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COMPARISON OF MEASURES OF TOTALLY POSITIVE POLYNOMIALS

Published online by Cambridge University Press:  22 August 2013

V. FLAMMANG
V. FLAMMANG*
Affiliation:
UMR CNRS 7122 Département de Mathématiques, UFR MIM, Université de Lorraine, site de Metz, Ile du Saulcy, 57045 METZ cedex 01, France email valerie.flammang@univ-lorraine.fr
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Abstract

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In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler measure of monic irreducible totally positive polynomials with integer coefficients. These bounds involve the length and the trace of the polynomial.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 89 , Issue 2 , April 2014 , pp. 265 - 270
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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