Please use this identifier to cite or link to this item:
https://lib.hpu.edu.vn/handle/123456789/26126
Title: | A First Course in Modular Forms |
Authors: | Diamond, Fred Shurman, Jerry |
Keywords: | Modular Forms Theory of modular forms Mathematics |
Issue Date: | 2010 |
Publisher: | Springer |
Abstract: | 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 propertie 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 |
URI: | https://lib.hpu.edu.vn/handle/123456789/26126 |
ISBN: | 9781441920058 1441920056 |
Appears in Collections: | Technology |
Files in This Item:
File | Description | Size | Format | |
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251_A_First_Course_in_Modular_Forms.pdf Restricted Access | 3.79 MB | Adobe PDF | ![]() View/Open Request a copy |
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