In a previous paper, the first named author introduced a two-parameter deformation of multiple zeta values. Its generating function is given by a multiple integral whose integrand is a product of Kronecker’s double series. In this paper, we use a scaling limit of Kronecker’s double series to construct a one-parameter deformation of multiple L-values (dMLVs). We prove double shuffle relations among them and construct an entire function interpolating the dMLVs.

中文翻译：

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多个 L 值的变形

在之前的一篇论文中，第一作者介绍了多个 zeta 值的双参数变形。它的生成函数由一个多重积分给出，其被积函数是 Kronecker 双级数的乘积。在本文中，我们使用 Kronecker 双级数的标度限制来构造多个L 值(dMLV)的单参数变形。我们证明了它们之间的双重洗牌关系，并构建了一个插入 dMLV 的完整函数。