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Some relations deduced from regularized double shuffle relations of multiple zeta values
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2020-07-18 , DOI: 10.1142/s1793042121500068
Zhonghua Li 1 , Chen Qin 1
Affiliation  

It is conjectured that the regularized double shuffle relations give all algebraic relations among the multiple zeta values, and hence all other algebraic relations should be deduced from the regularized double shuffle relations. In this paper, we provide as many as the relations which can be derived from the regularized double shuffle relations, for example, the weighted sum formula of Guo and Xie, some evaluation formulas with even arguments and the restricted sum formulas of Hoffman and their generalizations.

中文翻译:

从多个zeta值的正则化双重洗牌关系推导出的一些关系

推测正则化双混洗关系给出了多个zeta值之间的所有代数关系,因此所有其他代数关系都应该从正则化双混洗关系推导出来。在本文中,我们提供了尽可能多的可以从正则化的双混洗关系推导出的关系,例如郭和谢的加权和公式,一些偶数参数的评估公式和霍夫曼的限制和公式及其推广.
更新日期:2020-07-18
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