标题： 关于$t$-进制对称多重黎曼ζ值的提升 显示英文标题

标题： On a lifting of $t$-adic symmetric multiple zeta values

摘要： $t$-adic 对称多重黎曼ζ值是从 Kaneko-Zagier 猜想的角度对对称多重黎曼ζ值的推广。 在本文中，我们引入了一个带有新参数$s$的进一步推广，我们称之为$(s,t)$-adic 对称多重黎曼ζ值。 然后，建立了$(s,t)$-adic 版本的$t$-adic 双重交错关系、对偶性和循环和公式。 还讨论了$(s,t)$-adic 对称多重黎曼ζ值的有限对应物。 显示英文摘要

摘要： 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.