Computation and Experimental Evaluation of Mordell-Tornheim-Witten Sum Derivatives

In the previous work, the present authors and others have studied Mordell-Tornheim-Witten sums and their connections with multiple-zeta values. In this note, we describe the numerical computation of derivatives at zero of a specialization originating in a preprint by Romik and the experimental evalu...

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Bibliographic Details
Published in:Experimental mathematics 2018-07, Vol.27 (3), p.370-376
Main Authors: Bailey, D. H., Borwein, J. M.
Format: Article
Language:English
Subjects:
high-precision computation
Mordell-Tornheim-Witten sums
PSLQ algorithm
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Summary:In the previous work, the present authors and others have studied Mordell-Tornheim-Witten sums and their connections with multiple-zeta values. In this note, we describe the numerical computation of derivatives at zero of a specialization originating in a preprint by Romik and the experimental evaluation of these numerical values in terms of well-known constants.
ISSN:1058-6458
1944-950X
DOI:10.1080/10586458.2017.1295687