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Log-sine evaluations of Mahler measures, Part I.

Borwein, Jonathan M. and Straub, Armin (2012) Log-sine evaluations of Mahler measures, Part I. Australian J. Maths., 92 . pp. 15-36.

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    Abstract

    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.

    Item Type: Article
    Additional Information: Galleys, February 2012
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 05 Oct 2012 13:13
    Last Modified: 03 Jan 2015 20:36
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1384

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