Certain weighted sum formulas for multiple zeta values with some parameters

Certain weighted sum formulas for multiple zeta values with some parameters
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具有某些参数的多个 zeta 值的某些加权求和公式

DOI:
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发表时间:
2015
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通讯作者:
Shin
Shin
中科院分区:
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文献类型:
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作者:
Shin

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多重zeta值(MZVs)是由某些多重级数定义的真实的数。近年来,人们对它们之间的关系进行了研究,许多关系已为人们所熟知.本文得到了它们之间的一个新的关系式,它是Eie,Liaw和Ong得到的一个公式的推广,它有四个参数。此外,利用类似的方法,我们还得到了一个具有六个参数的关系。
Multiple zeta values (MZVs) are real numbers which are defined by certain multiple series. Recently, many people have researched for relations among them and many relations are well known. In this paper, we get a new relation among them which is a generalization of a formula obtained by Eie, Liaw and Ong, and has four parameters. Moreover, by using similar method, we also obtain a relation which has six parameters.