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 eigenformsAs 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.
- ISBN:
- 9780387232294
- 9780387232294
-
Category:
- Number theory
- Format:
- Hardback
- Publication Date:
-
19-01-2005
- Language:
- English
- Publisher:
- Springer-Verlag New York Inc.
- Country of origin:
- United States
- Pages:
- 450
- Dimensions (mm):
- 235x155x25mm
- Weight:
- 1.79kg
This title is in stock with our overseas supplier and should be sent from our Sydney warehouse within 3 - 4 weeks of you placing an order.
Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.
Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:
ACT Metro 2 working days
NSW Metro 2 working days
NSW Rural 2-3 working days
NSW Remote 2-5 working days
NT Metro 3-6 working days
NT Remote 4-10 working days
QLD Metro 2-4 working days
QLD Rural 2-5 working days
QLD Remote 2-7 working days
SA Metro 2-5 working days
SA Rural 3-6 working days
SA Remote 3-7 working days
TAS Metro 3-6 working days
TAS Rural 3-6 working days
VIC Metro 2-3 working days
VIC Rural 2-4 working days
VIC Remote 2-5 working days
WA Metro 3-6 working days
WA Rural 4-8 working days
WA Remote 4-12 working days
Share This Book: