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Log-sine evaluations of Mahler measures, Part II.

Borwein, David and Borwein, Jonathan M. and Straub, A. and Wan, J. (2012) Log-sine evaluations of Mahler measures, Part II. Integers, 12 (6). pp. 1179-1212.

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    Abstract

    We continue our analysis of higher and multiple Mahler measures using log-sine integrals as started in [7, 8]. This motivates a detailed study of various multiple polylogarithms [4] 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.

    Item Type: Article
    Additional Information: Accepted November 2011. Available at http://arxiv.org/abs/1103.3035.
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 29 Oct 2012 17:33
    Last Modified: 03 Jan 2015 14:29
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1435

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