An algebraic integration for Mahler measure

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dc.creatorLalin, Matilde N.
dc.date2006-09-29
dc.date.accessioned2026-07-07T09:29:56Z
dc.date.available2026-07-07T09:29:56Z
dc.descriptionThere are many examples of several-variable polynomials whose Mahler measure is expressed in terms of special values of polylogarithms. These examples are expected to be related to computations of regulators, as observed by Deninger, and later Rodriguez-Villegas, and Maillot. While Rodriguez-Villegas made this relationship explicit for the two variable case, it is our goal to understand the three variable case and shed some light on the examples with more variables.
dc.description3 figures
dc.identifierhttps://arxiv.org/abs/math/0609851
dc.identifierhttp://arxiv.org/abs/math/0609851
dc.identifierDuke Math. J. 138 (2007), no. 3, 391--422
dc.identifierdoi:10.1215/S0012-7094-07-13832-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157973
dc.subjectNumber Theory
dc.subjectK-Theory and Homology
dc.subject11G55, 19F99
dc.titleAn algebraic integration for Mahler measure
dc.typetext

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