Motivic multiple zeta values relative to mu(2)
文献类型：期刊论文
| 作者 | Jin, Zhongyu2; Li, Jiangtao1 |
| 刊名 | ALGEBRA & NUMBER THEORY
 |
| 出版日期 | 2020 |
| 卷号 | 14期号:10页码:2685-2712 |
| 关键词 | multiple zeta values period polynomial mixed Tate motives |
| ISSN号 | 1937-0652 |
| DOI | 10.2140/ant.2020.14.2685 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000592706500004 |
| 出版者 | MATHEMATICAL SCIENCE PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52498]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Peking Univ, Sch Math 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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