{"title":"A Geometric Introduction to Transcendence Questions on Values of Modular Forms","authors":"T. Fonseca","doi":"10.1142/9789811238680_0014","DOIUrl":null,"url":null,"abstract":"We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underlying geometric aspects. We finish with a brief discussion on periods and related open problems.","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Monographs in Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811238680_0014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underlying geometric aspects. We finish with a brief discussion on periods and related open problems.
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