Computation and theory of Mordell-Tornheim-Witten sums II

Title: Computation and theory of Mordell-Tornheim-Witten sums II
Creator: Bailey, D. H.; Borwein, J. M.
Relation: Journal of Approximation Theory Vol. 197, p. 115-140
Publisher Link: http://dx.doi.org/10.1016/j.jat.2014.10.004
Publisher: Elsevier
Resource Type: journal article
Date: 2015
Description: In Bailey etal. [8] the current authors, along with the late and much-missed Richard Crandall (1947-2012), considered generalized Mordell-Tornheim-Witten (MTW) zeta-function values along with their derivatives, and explored connections with multiple-zeta values (MZVs). This entailed use of symbolic integration, high precision numerical integration, and some interesting combinatorics and special-function theory. The original motivation was to represent objects such as Eulerian log-gamma integrals; and all such integrals were expressed in terms of a MTW basis. Herein, we extend the research envisaged in Bailey etal. [8] by analyzing the relations between a significantly more general class of MTW sums. This has required significantly more subtle scientific computation and concomitant special function theory.
Subject: Mordell–Tornheim–Witten; zeta functions; Eulerian log-gamma integrals; multiple-zeta values
Identifier: http://hdl.handle.net/1959.13/1339388
Identifier: uon:28248
Identifier: ISSN:0021-9045
Language: eng
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