{"title":"关于古庄的德林费尔德对数解析延续","authors":"Yen-Tsung Chen","doi":"10.1007/s00209-024-03522-8","DOIUrl":null,"url":null,"abstract":"<p>In the present paper, we establish an analytic continuation of Drinfeld logarithms by using the techniques introduced in Furusho (Tunis J Math 4(3):559–586, 2022) . This result can be seen as an analogue of the analytic continuation of the elliptic integrals of the first kind for Drinfeld modules.</p>","PeriodicalId":18278,"journal":{"name":"Mathematische Zeitschrift","volume":"32 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Furusho’s analytic continuation of Drinfeld logarithms\",\"authors\":\"Yen-Tsung Chen\",\"doi\":\"10.1007/s00209-024-03522-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In the present paper, we establish an analytic continuation of Drinfeld logarithms by using the techniques introduced in Furusho (Tunis J Math 4(3):559–586, 2022) . This result can be seen as an analogue of the analytic continuation of the elliptic integrals of the first kind for Drinfeld modules.</p>\",\"PeriodicalId\":18278,\"journal\":{\"name\":\"Mathematische Zeitschrift\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-06-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematische Zeitschrift\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00209-024-03522-8\",\"RegionNum\":3,\"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":"Mathematische Zeitschrift","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00209-024-03522-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On Furusho’s analytic continuation of Drinfeld logarithms
In the present paper, we establish an analytic continuation of Drinfeld logarithms by using the techniques introduced in Furusho (Tunis J Math 4(3):559–586, 2022) . This result can be seen as an analogue of the analytic continuation of the elliptic integrals of the first kind for Drinfeld modules.