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dc.contributor.author
Rodriguez Villegas, Fernando  
dc.contributor.author
Toledano, Ricardo Daniel  
dc.contributor.author
Vaaler, Jeffrey D.  
dc.date.available
2020-03-25T13:49:55Z  
dc.date.issued
2004-06  
dc.identifier.citation
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  
dc.identifier.issn
0013-0915  
dc.identifier.uri
http://hdl.handle.net/11336/100649  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cambridge University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
APPROXIMATION  
dc.subject
LINEAR FORM  
dc.subject
MAHLER MEASURE  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Estimates for mahler's measure of a linear form  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-20T20:02:18Z  
dc.journal.volume
47  
dc.journal.number
2  
dc.journal.pagination
473-494  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Cambridge  
dc.description.fil
Fil: Rodriguez Villegas, Fernando. University of Texas at Austin; Estados Unidos  
dc.description.fil
Fil: Toledano, Ricardo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina  
dc.description.fil
Fil: Vaaler, Jeffrey D.. University of Texas at Austin; Estados Unidos  
dc.journal.title
Proceedings Of The Edinburgh Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0013091503000701  

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