论文标题
Schur多个挂钩类型的多个Zeta值的洗牌产品公式
Shuffle product formula of the Schur multiple zeta values of hook type
论文作者
论文摘要
我们讨论了Schur多个Zeta值的洗牌产物，即Schur多个Zeta函数的特殊值。我们首先定义$ 2 $标记的Schur posets，以概括Yamamoto的多个Zeta值的积分表达式，并通过使用这些POSET来考虑挂钩型Schur多个Zeta值的乘积。然后，对于派生的术语，我们引入了修改后的hurwitz-type schur多重zeta zeta函数，称为基本阶段schur多重zeta函数。此外，我们概括了$ 2 $标记的Schur posets，以考虑基本阶乘Schur多个Zeta值的洗牌产品，并为其洗牌产品获得明确的公式。
We discuss the shuffle product of the Schur multiple zeta values, which are the special values of Schur multiple zeta functions. We first define $2$-labeled Schur posets to generalize Yamamoto's integral expression of the multiple zeta values and consider the product of hook-type Schur multiple zeta values by using these posets. Then, for the derived terms, we introduce a modified Hurwitz-type Schur multiple zeta function of hook type, named an elementary factorial Schur multiple zeta function. Furthermore, we generalize $2$-labeled Schur posets to consider the shuffle product of the elementary factorial Schur multiple zeta values and obtain an explicit formula for their shuffle product.
