论文标题

以固定重量和深度的多个T值的加权总和

On a weighted sum of multiple T-values of fixed weight and depth

论文作者

Takeyama, Yoshihiro

论文摘要

Kaneko和Tsumura引入了多个T值,它是第二级Zeta值的变体。我们表明,通过求解HEUN类型的微分方程,给出了固定权重和深度的多个T值的加权总和的生成函数。

The multiple T-value, which is a variant of multiple zeta value of level two, is introduced by Kaneko and Tsumura. We show that the generating function of a weighted sum of the multiple T-values of fixed weight and depth is given in terms of the multiple T-values of depth one by solving a differential equation of Heun type.

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