A First Course in Modular Forms (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

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Fred Diamond

Springer

2007-04-30

452

USD 69.95

Hardcover

Graduate Texts in Mathematics

9780387232294

图书标签: 模形式数学 modular_forms 数论自守形式椭圆曲线 math Number_Theory

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A First Course in Modular Forms (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

A First Course in Modular Forms (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

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This book introduces the theory of modular forms with an eye toward the Modularity Theorem. All rational elliptic curves arise from modular forms. The topics covered include: 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, elliptic and modular curves modulo p and the Eichler-Shimura Relation, the Galois representations associated to elliptic curves and 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. A First Course in Modular Forms is written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout.</P>

A First Course in Modular Forms (Graduate Texts in Mathematics) 下载 mobi epub pdf txt 电子书

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Modularity Theorem的几种版本,最后一章也可以作为Galois representations的小入门

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Modularity Theorem的几种版本,最后一章也可以作为Galois representations的小入门

评分☆☆☆☆☆

Modularity Theorem的几种版本,最后一章也可以作为Galois representations的小入门

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180114 跳证明但试着好好理解后半本，原来后半本是讲复数域推广到更一般的域，学过黎曼面后理解轻松了很多。 // 170222 习题多数是推导过程的中间步骤，还有一些帮助理解的例子。（我看到后半本崩溃得狂跳证明了，等二刷……

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花了10分钟速度翻完。内容主要是介绍moduilarity theorem：任何一个Elliptic curve E/Q, 均存在一个N 以及一个morphism F: X_0(N) ightarrow E, over Q 也就是说，Elliptic Curve实际上是由Hecke newform通过Eichler-Shimura理论得到。虽然描述了不同版本的modularity，但...

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A First Course in Modular Forms (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

A First Course in Modular Forms (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

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A First Course in Modular Forms (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

A First Course in Modular Forms (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

A First Course in Modular Forms (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024