{"title":"U(3)的五变量p进l函数×U(2)","authors":"Ming-Lun Hsieh , Shunsuke Yamana","doi":"10.1016/j.aim.2025.110355","DOIUrl":null,"url":null,"abstract":"<div><div>We construct a five-variable <em>p</em>-adic <em>L</em>-function attached to Hida families on the definite unitary groups <span><math><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></math></span> and <span><math><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> by using the Ichino-Ikeda formula. The interpolation formula fits into the conjectural shape of <em>p</em>-adic <em>L</em>-functions predicted by Coates and Perrin-Riou.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"476 ","pages":"Article 110355"},"PeriodicalIF":1.5000,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Five-variable p-adic L-functions for U(3)×U(2)\",\"authors\":\"Ming-Lun Hsieh , Shunsuke Yamana\",\"doi\":\"10.1016/j.aim.2025.110355\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We construct a five-variable <em>p</em>-adic <em>L</em>-function attached to Hida families on the definite unitary groups <span><math><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></math></span> and <span><math><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> by using the Ichino-Ikeda formula. The interpolation formula fits into the conjectural shape of <em>p</em>-adic <em>L</em>-functions predicted by Coates and Perrin-Riou.</div></div>\",\"PeriodicalId\":50860,\"journal\":{\"name\":\"Advances in Mathematics\",\"volume\":\"476 \",\"pages\":\"Article 110355\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-05-21\",\"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/S0001870825002531\",\"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/S0001870825002531","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
We construct a five-variable p-adic L-function attached to Hida families on the definite unitary groups and by using the Ichino-Ikeda formula. The interpolation formula fits into the conjectural shape of p-adic L-functions predicted by Coates and Perrin-Riou.
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.