{"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}
引用次数: 0
Abstract
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.