Kawashima's relations for interpolated multiple zeta values
Kawashima's relation is one that is believed to imply all relations among multiple zeta values. The interpolated multiple zeta value \(\zeta^t(\boldsymbol{k})\in\mathbb{R}[t]\), defined by \textit{S. Yamamoto} [J. Algebra 385, 102--114 (2013; Zbl 1336.11062)], is a polynomial that is equal to the multiple zeta value \(\zeta(\boldsymbol{k})\) when \(t=0\) and to the multiple zeta-star value \(\zeta^{\star}(\boldsymbol{k})\) when \(t=1\). The present paper extends Kawashima's relation to interpolated multiple zeta values, and applies the result to give another proof of the cyclic sum formula for interpolated multiple zeta values.
scientific article; zbMATH DE number 6517047
scientific article