Quasi-shuffle products revisited
Quasi-shuffle products revisited
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DOI：
10.1016/j.jalgebra.2017.03.005
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发表时间：
2016-10
影响因子：
0.9
通讯作者：
Michael E. Hoffman;K. Ihara
中科院分区：
文献类型：
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作者：
Michael E. Hoffman;K. Ihara
第一作者介绍的准洗牌产品在研究多个 zeta 值及其一些类似物和概括方面非常有用。第二作者与 Kajikawa、Ohno 和 Okuda 一起显着扩展了准洗牌代数的定义，使其可以应用于多重 q-zeta 值。本文将第一作者原始论文的一些代数机制扩展到更一般的定义，并演示了如何以透明的方式获得拟洗牌代数中的各种代数公式。给出了多个 zeta 值、插值多个 zeta 值、多个 q-zeta 值和多个多对数的一些应用。
Quasi-shuffle products, introduced by the first author, have been useful in studying multiple zeta values and some of their analogues and generalizations. The second author, together with Kajikawa, Ohno, and Okuda, significantly extended the definition of quasi-shuffle algebras so it could be applied to multipleq-zeta values. This article extends some of the algebraic machinery of the first author's original paper to the more general definition, and demonstrates how various algebraic formulas in the quasi-shuffle algebra can be obtained in a transparent way. Some applications to multiple zeta values, interpolated multiple zeta values, multipleq-zeta values, and multiple polylogarithms are given.