论文标题
另一个查看Zagier的公式，用于涉及Hoffman元素的多个Zeta值
Another look at Zagier's formula for multiple zeta values involving Hoffman elements
论文作者
论文摘要
在本文中，我们将基本帐户介绍给Zagier的公式，以涉及涉及Hoffman元素的多个Zeta值。我们的方法使我们能够通过涉及系数$ζ（2n）$的有理Zeta系列在特殊情况下获得直接证明。该公式在证明霍夫曼的猜想中起着重要的作用，该猜想断言，重量$ k $的每个Zeta值都可以表示为$ \ MATHBB {Q} $ - 相同重量的多个Zeta值的线性组合，涉及$ 2 $ $ 2 $和$ 3 $。同样，使用有理Zeta系列的类似的超几何参数，我们为多个特殊的Hurwitz Zeta值生成了新的Zagier型公式。
In this paper, we give an elementary account into Zagier's formula for multiple zeta values involving Hoffman elements. Our approach allows us to obtain direct proof in a special case via rational zeta series involving the coefficient $ζ(2n)$. This formula plays an important role in proving Hoffman's conjecture which asserts that every multiple zeta value of weight $k$ can be expressed as a $\mathbb{Q}$-linear combinations of multiple zeta values of the same weight involving $2$'s and $3$'s. Also, using a similar hypergeometric argument via rational zeta series, we produce a new Zagier-type formula for the multiple special Hurwitz zeta values.
