Ohno函数的解析性质

Pub Date : 2020-05-29 DOI:10.7146/math.scand.a-128520

Ken Kamano, Tomokazu Onozuka

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引用次数: 1

摘要

Ohno关系式是多个ζ值场上的一个众所周知的关系式，它具有对复函数的插值。本文将其复函数称为Ohno函数，并对其进行了研究，考虑了它的绝对收敛域，给出了一些新的表达式，给出了函数的新关系。我们还直接证明了Ohno关系的插值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analytic properties of Ohno function

Ohno's relation is a well-known relation on the field of the multiple zeta values and has an interpolation to complex function. In this paper, we call its complex function Ohno function and study it. We consider the region of absolute convergence, give some new expressions, and show new relations of the function. We also give a direct proof of the interpolation of Ohno's relation.

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