Log-sine evaluations of Mahler measures, II

Details Log-sine evaluations of Mahler measures, II Log-sine evaluations of Mahler measures, II

2011-03-15

arxiv.org/abs/1103.3035v1

Mathematics

Classical Analysis and ODEs

35 pages

Scientific paper

We continue the analysis of higher and multiple Mahler measures using log-sine integrals as started in "Log-sine evaluations of Mahler measures" and "Special values of generalized log-sine integrals" by two of the authors. This motivates a detailed study of various multiple polylogarithms and worked examples are given. Our techniques enable the reduction of several multiple Mahler measures, and supply an easy proof of two conjectures by Boyd.

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