Elementary Dirichlet Series and Modular Forms

• Main Author: Shimura, Goro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebraic geometry.; Number theory.; Number Theory.; Algebraic Geometry.

The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old...

Table of Contents:

• Preliminaries on Modular Forms and Dirichlet Series
• Critical Values of Dirichlet L-functions
• The Case of Imaginary Quadratic Fields and Nearly Holomorphic Modular Forms
• Eisenstein Series
• Critical Values of Dirichlet Series Associated with Imaginary Quadratic Fields
• Supplementary Results.