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On a lifting of $t$-adic symmetric multiple zeta values
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abstract
The $t$-adic symmetric multiple zeta value is a generalization of the symmetric multiple zeta value from the perspective of the Kaneko-Zagier conjecture. In this paper, we introduce a further generalization with a new parameter $s$, which we call the $(s,t)$-adic symmetric multiple zeta value. Then, the $(s,t)$-adic version of the $t$-adic double shuffle relations, duality and cyclic sum formula are established. A finite counterpart of the $(s,t)$-adic symmetric multiple zeta value is also discussed.
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Cited by 1 Pith paper
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Ohno relation for regularized refined symmetric multiple zeta values
The authors generalize Takeyama's Ohno relation to regularized refined symmetric multiple zeta values, yielding a generating-function identity with gamma factors.
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