关于切环多重zeta值之间标准关系的赵氏猜想

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-10-10 DOI:10.1016/j.jalgebra.2025.10.003

Henrik Bachmann, Khalef Yaddaden

{"title":"关于切环多重zeta值之间标准关系的赵氏猜想","authors":"Henrik Bachmann, Khalef Yaddaden","doi":"10.1016/j.jalgebra.2025.10.003","DOIUrl":null,"url":null,"abstract":"<div><div>We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broader algebraic setting in which we give a natural equivalence between two schemes attached to a finite abelian group <em>G</em>. In particular, when <em>G</em> is the group of roots of unity, these schemes describe the standard relations among cyclotomic multiple zeta values.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"688 ","pages":"Pages 21-58"},"PeriodicalIF":0.8000,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values\",\"authors\":\"Henrik Bachmann, Khalef Yaddaden\",\"doi\":\"10.1016/j.jalgebra.2025.10.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broader algebraic setting in which we give a natural equivalence between two schemes attached to a finite abelian group <em>G</em>. In particular, when <em>G</em> is the group of roots of unity, these schemes describe the standard relations among cyclotomic multiple zeta values.</div></div>\",\"PeriodicalId\":14888,\"journal\":{\"name\":\"Journal of Algebra\",\"volume\":\"688 \",\"pages\":\"Pages 21-58\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869325005691\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869325005691","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们证明了赵关于权值为2的切环倍数zeta值之间某些关系结构的猜想。我们给出了有限阿贝尔群G上的两个格式之间的自然等价，特别是当G是单位根群时，这些格式描述了环切多重zeta值之间的标准关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values

We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broader algebraic setting in which we give a natural equivalence between two schemes attached to a finite abelian group G. In particular, when G is the group of roots of unity, these schemes describe the standard relations among cyclotomic multiple zeta values.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.