We treat desingularized multiple zeta-functions introduced by Furusho, Komori, Matsumoto and Tsumura. In this paper, we prove functional relations, which are shuffle type product formulae, between desingularized multiple zeta-functions and desingularized values.

中文翻译：

---

去奇异化多zeta函数的shuffle型函数关系

我们处理由 Furusho、Komori、Matsumoto 和 Tsumura 引入的去奇异化的多个 zeta 函数。在本文中，我们证明了去奇异化的多个 zeta 函数和去奇异化值之间的函数关系，即洗牌型乘积公式。