عنوان
پدید آورنده
موضوع
رده
QA243 .D47 2005
QA243
.
D47
2005
کتابخانه
محل استقرار
038723229X
0387272267
1441920056
9780387232294
9780387272269
9781441920058
dltt
A first course in modular forms /
[Book]
Fred Diamond, Jerry Shurman
xv, 436 pages :
illustrations ;
25 cm
Graduate texts in mathematics ;
228
Includes bibliographical references (pages 433-436) and index
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
0
"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
Forms, Modular.
Funções e formas modulares
Modulaire functies
Teoria dos números
QA
512
.
7/3
22
QA243
.
D47
2005
Diamond, Fred.
Shurman, Jerry Michael.
20180316113510.0
مطالعه متن کتاب [Book]
Y
