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.
A First Course in Modular Forms Free Download
April 8, 2022
![A First Course in Modular Forms A First Course in Modular Forms](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWIU9gVLYBNh36HkB_msU9ynnP38-V4ZOOQXgHXJsWsBblUQ6e32Y5SHHMnBZDaIdQ7t5UlIBCsM3YQFcWIGGaMonapbelO6j5Q045ELjSDjKsC9Rxt2LahzDXKE08JJPp6En8C-6lLCP8KSryV8E0aQHRmcCeN2oamkJ6W6Z2Kq3z0Z6YzddY159_HA/s320/A%20First%20Course%20in%20Modular%20Forms.png)
You may also like
This text offers a comprehensive presentation of the mathematics required to tackle problems in economic analyses. To give a better understanding of the...
This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods...
ANALYSICS MATHEMATICS
Measure and Integral An Introduction to Real Analysis 2nd Edition by Richard L. Wheeden PDF
October 10, 2023
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first...
Recent Posts
- Variational Principles in Physics by Jean-Louis Basdevant PDF
- Analytical Chemistry by Dhruba Charan Dash PDF
- Handbook of Modern Sensors Physics, Designs, and Applications 3rd Edition by Jacob Fraden PDF
- A Level Physics a for OCR Student Book by Jo Locke PDF
- Quarks and Leptons An Introductory Course in Modern Particle Physics by Francis Halzen PDF
Add Comment