论文标题
多个$ t $价值的对称结果
Symmetry results for multiple $t$-values
论文作者
论文摘要
对于第一部分超过1的构图$ i $，我们可以将多个$ t $ value $ t（i）$定义为多个Zeta值$ζ（I）$的系列中所有条款的总和。 In this paper we show that if $I$ is composition of $n\ge 3$, then $t(I)=(-1)^{n-1}t(\bar I)$ mod products, where $\bar I$ is the reverse of $I$, and both sides are suitably regularized when $I$ ends in 1. This result is not true for multiple zeta values, though there is an argument-reversal result that does hold for them (and for multiple $ t $ - 价值）。实际上，我们证明了此结果的更通用版本，然后使用它来建立多个$ t $价值的几类和插值多个$ t $价值的明确公式。
For a composition $I$ whose first part exceeds 1, we can define the multiple $t$-value $t(I)$ as the sum of all the terms in the series for the multiple zeta value $ζ(I)$ whose denominators are odd. In this paper we show that if $I$ is composition of $n\ge 3$, then $t(I)=(-1)^{n-1}t(\bar I)$ mod products, where $\bar I$ is the reverse of $I$, and both sides are suitably regularized when $I$ ends in 1. This result is not true for multiple zeta values, though there is an argument-reversal result that does hold for them (and for multiple $t$-values as well). We actually prove a more general version of this result, and then use it to establish explicit formulas for several classes of multiple $t$-values and interpolated multiple $t$-values.
