论文标题
kaneko-tsumura猜想的证明是三重T值
Proof of Kaneko--Tsumura Conjecture on Triple T-Values
论文作者
论文摘要
许多$ \ mathbb {q} $ - 多个Zeta值之间存在线性关系，其中最有趣的是各种加权总和公式。在本文中，我们通过考虑Euler总和的生成函数，将它们推广到Euler总和和其他多个Zeta值的其他变体。通过这种方法，我们能够重新启动一些已知的公式，确认Kaneko和Tsumura在Triple $ t $价值上的猜想，并发现许多新的身份。
Many $\mathbb{Q}$-linear relations exist between multiple zeta values, the most interesting of which are various weighted sum formulas. In this paper, we generalized these to Euler sums and some other variants of multiple zeta values by considering the generating functions of the Euler sums. Through this approach we are able to re-prove a few known formulas, confirm a conjecture of Kaneko and Tsumura on triple $T$-values, and discover many new identities.
