• Title/Summary/Keyword: alternating multiple T-values

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DUALITY OF WEIGHTED SUM FORMULAS OF ALTERNATING MULTIPLE T-VALUES

  • Xu, Ce
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1261-1278
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    • 2021
  • Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.