Modular Forms: Basics and Beyond

• Main Author: Shimura, Goro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Numerical analysis.; Numerical Analysis.

This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a rea...

Table of Contents:

• Preface
• Notation and Terminology
• Chapter I. Preliminaries
• Chapter II. Theta Functions and Factors of Automorphy
• Chapter III. The Rationality and Eisenstein Series
• Chapter IV. The Correspondence between Forms of Integral and Half-integral Weight
• Chapter V. The Arithmeticity of Critical Values of Dirichlet Series
• Appendix
• References
• Index.