On a $t$-stuffle product formula for interpolated multiple zeta values
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In this paper, we obtain a restricted decomposition formula for interpolated multiple zeta values using $t$-stuffle product. We then derive a recursive formula of $t$-stuffle product, which also provides a route to the same formula. In both cases, combinatorial description of $t$-stuffle product is our basic tool. We also provide alternative proofs by mathematical induction for some of the results.
Abstract
In this paper, we obtain a restricted decomposition formula for interpolated multiple zeta values using $t$-stuffle product. We then derive a recursive formula of $t$-stuffle product, which also provides a route to the same formula. In both cases, combinatorial description of $t$-stuffle product is our basic tool. We also provide alternative proofs by mathematical induction for some of the results.