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Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values

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 نشر من قبل Ce Xu
 تاريخ النشر 2020
  مجال البحث
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 تأليف Ce Xu




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Recently, a new kind of multiple zeta value level two $T({bf k})$ (which is called multiple $T$-values) 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.



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