Log-sine evaluations of Mahler measures

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

2011-03-20

arxiv.org/abs/1103.3893v1

Mathematics

Classical Analysis and ODEs

25 pages

Scientific paper

We provide evaluations of several recently studied higher and multiple Mahler measures using log-sine integrals. This is complemented with an analysis of generating functions and identities for log-sine integrals which allows the evaluations to be expressed in terms of zeta values or more general polylogarithmic terms. The machinery developed is then applied to evaluation of further families of multiple Mahler measures.

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