On the Mahler measure of resultants in small dimensions

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dc.creatorD'Andrea, Carlos
dc.creatorLalin, Matilde N.
dc.date2006-04-16
dc.date.accessioned2026-07-07T07:37:46Z
dc.date.available2026-07-07T07:37:46Z
dc.descriptionWe prove that sparse resultants having Mahler measure equal to zero are those whose Newton polytope has dimension one. We then compute the Mahler measure of resultants in dimension two, and examples in dimension three and four. Finally, we show that sparse resultants are tempered polynomials. This property suggests that their Mahler measure may lead to special values of L-functions and polylogarithms.
dc.description2 figures
dc.identifierhttps://arxiv.org/abs/math/0604359
dc.identifierhttp://arxiv.org/abs/math/0604359
dc.identifierJ. Pure Appl. Algebra 209 (2007) no. 2, 393--410.
dc.identifierdoi:10.1016/j.jpaa.2006.06.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120884
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G55, 11G50, 11G08, 14Q99
dc.titleOn the Mahler measure of resultants in small dimensions
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