Artículo

Estimates for mahler's measure of a linear form

Rodriguez Villegas, Fernando; Toledano, Ricardo DanielIcon ; Vaaler, Jeffrey D.
Fecha de publicación: 06/2004
Editorial: Cambridge University Press
Revista: Proceedings Of The Edinburgh Mathematical Society
ISSN: 0013-0915
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Let La(z) = a1z1+a2z2 + ... + aNzN be a linear form in N complex variables z1,z2,...,zN with non-zero coefficients. We establish several estimates for the logarithmic Mahler measure of La. In general, we show that the logarithmic Mahler measure of La(x) and the logarithm of the norm of a differ by a bounded amount that is independent of N. We prove a further estimate which is useful for making an approximate numerical evaluation of the logarithmic Mahler measure.
Palabras clave: APPROXIMATION , LINEAR FORM , MAHLER MEASURE
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
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URI: http://hdl.handle.net/11336/100649
DOI: http://dx.doi.org/10.1017/S0013091503000701
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Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Rodriguez Villegas, Fernando; Toledano, Ricardo Daniel; Vaaler, Jeffrey D.; Estimates for mahler's measure of a linear form; Cambridge University Press; Proceedings Of The Edinburgh Mathematical Society; 47; 2; 6-2004; 473-494
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