Iterated integrals on products of one variable multiple polylogarithms

doi:10.1142/S1793042120501122

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	Iterated integrals on products of one variable multiple polylogarithms
	Li, Jiangtao
	2020-11-01
发表期刊	INTERNATIONAL JOURNAL OF NUMBER THEORY
ISSN	1793-0421
卷号	16 期号:10 页码:2167-2186
摘要	In this paper, we show that the iterated integrals on products of one variable multiple polylogarithms from 0 to 1 are actually in the algebra of multiple zeta values if they are convergent. In the divergent case, we define the regularized iterated integrals from 0 to 1. By the same method, we show that the regularized iterated integrals are also in the algebra of multiple zeta values. As an application, we give new series representations for multiple zeta values and calculate some interesting examples of iterated integrals.
关键词	Multiple zeta values polylogarithms partial orders iterated integrals
DOI	10.1142/S1793042120501122
收录类别	SCI
语种	英语
资助项目	China Postdoctoral Science Foundation[2019M660828]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000586777900004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52529
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jiangtao
作者单位	Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Jiangtao. Iterated integrals on products of one variable multiple polylogarithms[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY,2020,16(10):2167-2186.
APA	Li, Jiangtao.(2020).Iterated integrals on products of one variable multiple polylogarithms.INTERNATIONAL JOURNAL OF NUMBER THEORY,16(10),2167-2186.
MLA	Li, Jiangtao."Iterated integrals on products of one variable multiple polylogarithms".INTERNATIONAL JOURNAL OF NUMBER THEORY 16.10(2020):2167-2186.