Motivic multiple zeta values relative to mu(2)

doi:10.2140/ant.2020.14.2685

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	Motivic multiple zeta values relative to mu(2)
	Jin, Zhongyu 1; Li, Jiangtao 2
	2020
发表期刊	ALGEBRA & NUMBER THEORY
ISSN	1937-0652
卷号	14 期号:10 页码:2685-2712
摘要	We establish a short exact sequence about depth-graded motivic double zeta values of even weight relative to mu(2). We find a basis for the depth-graded motivic double zeta values relative to mu(2) of even weight and a basis for the depth-graded motivic triple zeta values relative to mu(2) of odd weight. As an application of our main results, we prove Kaneko and Tasaka's conjectures about the sum odd double zeta values and the classical double zeta values. We also prove an analogue of Kaneko and Tasaka's conjecture in depth three. Finally, we formulate a conjecture which is related to sum odd multiple zeta values in higher depth.
关键词	multiple zeta values period polynomial mixed Tate motives
DOI	10.2140/ant.2020.14.2685
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000592706500004
出版者	MATHEMATICAL SCIENCE PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52499
专题	中国科学院数学与系统科学研究院
通讯作者	Jin, Zhongyu
作者单位	1.Peking Univ, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Jin, Zhongyu,Li, Jiangtao. Motivic multiple zeta values relative to mu(2)[J]. ALGEBRA & NUMBER THEORY,2020,14(10):2685-2712.
APA	Jin, Zhongyu,&Li, Jiangtao.(2020).Motivic multiple zeta values relative to mu(2).ALGEBRA & NUMBER THEORY,14(10),2685-2712.
MLA	Jin, Zhongyu,et al."Motivic multiple zeta values relative to mu(2)".ALGEBRA & NUMBER THEORY 14.10(2020):2685-2712.