MULTIPLE ZETA VALUES AND ITERATED LOG-SINE INTEGRALS

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2019-04-22 DOI:10.2206/kyushujm.74.233

Ryo Umezawa

引用次数: 2

Abstract

We introduce an iterated integral version of (generalized) log-sine integrals (iterated log-sine integrals) and prove a relation between a multiple polylogarithm and iterated log-sine integrals. We also give a new method for obtaining relations among multiple zeta values, which uses iterated log-sine integrals, and give alternative proofs of several known results related to multiple zeta values and log-sine integrals.

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多重ζ值与迭代LOG-SINE积分

我们引入了（广义）对数正弦积分（迭代对数正弦积分）的迭代积分版本，并证明了多重多对数与迭代对数正弦积之间的关系。我们还给出了一种利用迭代对数正弦积分获得多个ζ值之间关系的新方法，并给出了与多个ζ值和对数正弦积分有关的几个已知结果的替代证明。

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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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.