A First Course in Modular Forms-so88
A First Course in Modular Forms pdf epub mobi txt 电子书 下载 2022
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Fred Diamond & Jerry S... 著
店铺: 澜瑞外文Lanree图书专营店 出版社: Springer ISBN:9781441920058 商品编码:1136650950 包装:平装 外文名称:A First Course in Modu... 出版时间:2010-11-19 页数:431 正文语种:英语
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A First Course in Modular Forms
作者: Fred Diamond;Jerry Shurman;
ISBN13: 9781441920058
类型: 平装(简装书)
语种: 英语(English)
出版日期: 2010-11-19
出版社: Springer
页数: 431
重量(克): 635
尺寸: 23.3934 x 15.5956 x 2.3368 cm
商品简介
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
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