یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 433-436) and index
یادداشتهای مربوط به مندرجات
متن يادداشت
Modular forms, elliptic curves, and modular curves -- Modular curves as Riemann surfaces -- Dimension formulas -- Eisenstein series -- Hecke operators -- Jacobians and Abelian varieties -- Modular curves as algebraic curves -- The Eichler-Shimura relation and L-functions -- Galois representations
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"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."--Publisher's website
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Forms, Modular.
موضوع مستند نشده
Funções e formas modulares
موضوع مستند نشده
Modulaire functies
موضوع مستند نشده
Teoria dos números
مقوله موضوعی
موضوع مستند نشده
QA
رده بندی ديویی
شماره
512
.
7/3
ويراست
22
رده بندی کنگره
شماره رده
QA243
نشانه اثر
.
D47
2005
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )