Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci
{"title":"加勒特p进l函数的Heegner点与例外零点","authors":"Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci","doi":"10.1007/s00032-021-00332-z","DOIUrl":null,"url":null,"abstract":"<p>This article proves a case of the <i>p</i>-adic Birch and Swinnerton–Dyer conjecture for Garrett <i>p</i>-adic <i>L</i>-functions of (Bertolini et al. in On <i>p</i>-adic analogues of the Birch and Swinnerton–Dyer conjecture for Garrett <i>L</i>-functions, 2021), in the imaginary dihedral exceptional zero setting of extended analytic rank 4.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2021-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Heegner Points and Exceptional Zeros of Garrett p-Adic L-Functions\",\"authors\":\"Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci\",\"doi\":\"10.1007/s00032-021-00332-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This article proves a case of the <i>p</i>-adic Birch and Swinnerton–Dyer conjecture for Garrett <i>p</i>-adic <i>L</i>-functions of (Bertolini et al. in On <i>p</i>-adic analogues of the Birch and Swinnerton–Dyer conjecture for Garrett <i>L</i>-functions, 2021), in the imaginary dihedral exceptional zero setting of extended analytic rank 4.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2021-06-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00032-021-00332-z\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00032-021-00332-z","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 1
摘要
本文证明了在扩展解析秩4的虚二面体例外零设置中(Bertolini et al. On On Birch和Swinnerton-Dyer猜想的Garrett l函数的p进Birch和Swinnerton-Dyer猜想,2021)的Garrett p进l函数的p进Birch和Swinnerton-Dyer猜想的一个例子。
Heegner Points and Exceptional Zeros of Garrett p-Adic L-Functions
This article proves a case of the p-adic Birch and Swinnerton–Dyer conjecture for Garrett p-adic L-functions of (Bertolini et al. in On p-adic analogues of the Birch and Swinnerton–Dyer conjecture for Garrett L-functions, 2021), in the imaginary dihedral exceptional zero setting of extended analytic rank 4.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.