{"title":"论赫尔维茨方法及其应用","authors":"W. Duke , Ö. Imamoḡlu , Á. Tóth","doi":"10.1016/j.aim.2024.109968","DOIUrl":null,"url":null,"abstract":"<div><div>We give class number formulas for binary cubic and <em>n</em>-ary quadratic forms using a method of Hurwitz. We also show how the same method can be applied to give identities for certain multiple zeta values attached to symmetric cones.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"458 ","pages":"Article 109968"},"PeriodicalIF":1.5000,"publicationDate":"2024-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a method of Hurwitz and its applications\",\"authors\":\"W. Duke , Ö. Imamoḡlu , Á. Tóth\",\"doi\":\"10.1016/j.aim.2024.109968\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We give class number formulas for binary cubic and <em>n</em>-ary quadratic forms using a method of Hurwitz. We also show how the same method can be applied to give identities for certain multiple zeta values attached to symmetric cones.</div></div>\",\"PeriodicalId\":50860,\"journal\":{\"name\":\"Advances in Mathematics\",\"volume\":\"458 \",\"pages\":\"Article 109968\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-10-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0001870824004833\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0001870824004833","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们用赫尔维茨的方法给出了二元三次方和 n 元二次方的类数公式。我们还展示了如何运用同样的方法给出对称锥的某些多重zeta值的等价性。
We give class number formulas for binary cubic and n-ary quadratic forms using a method of Hurwitz. We also show how the same method can be applied to give identities for certain multiple zeta values attached to symmetric cones.
期刊介绍:
Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.