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 SizeFormat 
251_A_First_Course_in_Modular_Forms.pdf
  Restricted Access
3.79 MBAdobe PDFThumbnail
View/Open Request a copy


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.