Mahler measures and computations with regulators

dc.creatorLalin, Matilde N.
dc.date2006-11-21
dc.date2007-04-13
dc.date.accessioned2026-07-07T09:29:56Z
dc.date.available2026-07-07T09:29:56Z
dc.descriptionIn this work we apply the techniques that were developed in [Lalin: An algebraic integration for Mahler measure] in order to study several examples of multivariable polynomials whose Mahler measure is expressed in terms of special values of the Riemann zeta function or Dirichlet L-series. The examples may be understood in terms of evaluations of regulators. Moreover, we apply the same techniques to the computation of generalized Mahler measures, in the sense of Gon and Oyanagi [Gon, Oyanagi: Generalized Mahler measures and multiple sine functions]
dc.description5 figures
dc.identifierhttps://arxiv.org/abs/math/0611624
dc.identifierhttp://arxiv.org/abs/math/0611624
dc.identifierJ. Number Theory 128 (2008), no. 5, 1231--1271
dc.identifierdoi:10.1016/j.jnt.2007.03.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157974
dc.subjectNumber Theory
dc.subjectK-Theory and Homology
dc.subject11G55, 19F99
dc.titleMahler measures and computations with regulators
dc.typetext

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