Generalized Euler decomposition formula for interpolated multiple zeta values

In this paper, we obtain a general t-shuffle product formula, using which we derive a generalized Euler decomposition formula for interpolated multiple zeta values. We also provide the same formula in case of height one through two different approaches: one by combinatorial description and another one by recursive formula.

💡 Research Summary

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The paper investigates the algebraic structure of interpolated multiple zeta values (IMZVs), which interpolate between classical multiple zeta values (MZVs) and their star‑versions (MZSVs) through a parameter (t). The authors introduce a non‑commutative polynomial algebra (\mathfrak h_t=\mathbb Q