Journal of the Ramanujan Mathematical Society
Volume 28, Issue 2, June 2013 pp. 247–269.
On alternating analogues of the Mordell-Tornheim triple zeta valuesAuthors: Takuya Okamoto
Author institution: College of Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga 525-8577, Japan
Summary: We give generalizations of alternating analogues of Mordell-Tornheim double zeta-function and modified Mordell-Tornheim double zeta-function. In this paper, we consider their double and triple zeta values by applying the Onodera method of using the relations of modified Bernoulli polynomials, and we obtain evaluation formulas which are simpler than other known results.
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