Elementary dirichlet series and modular forms

Includes index

Includes bibliographical references

Chapter 1: Preliminaries on Modular Forms and Dirichlet Series
Chapter 2: Critical Values of Dirichlet L-functions
Chapter 3: The Case of Imaginary Quadratic Fields and Nearly Holomorphic Modular Forms
Chapter 4: Eisenstein Series
Chapter 5: Critical Values of Dirichlet Series Associated with Imaginary Quadratic Fields
Chapter 6: Supplementary Results

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 method. After a review of elementary Fourier analysis, the author presents completely new results with new methods, though old results will also be proved.