Journal of the Ramanujan Mathematical Society

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On Alternating Analogues of the Mordell-Tornheim Triple Zeta Values


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1 College of Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga 525-8577, Japan
     

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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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  • On Alternating Analogues of the Mordell-Tornheim Triple Zeta Values

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Authors

Takuya Okamoto
College of Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga 525-8577, Japan

Abstract


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.