Elementary Dirichlet Series and Modular Forms Hardcover

This book focuses on elementary Dirichlet series and modular forms, two important topics in number theory and analytic number theory. The book provides a comprehensive introduction to these topics, discussing their historical development, basic concepts, and important results.

The book begins with a discussion of Dirichlet series, which are power series that arise in the study of number theory. The author explains the basic properties of Dirichlet series, including their convergence properties and connections to prime number theory.

Next, the book turns to modular forms, a central topic in modern number theory. The author covers the definition and basic properties of modular forms, as well as their connections to elliptic curves and the famous Ramanujan conjectures.

Throughout the book, the author provides numerous examples and exercises to help readers deepen their understanding of the material. The book also includes a detailed bibliography for further study.

Overall, this book is a valuable resource for graduate students and researchers in number theory and related fields who are interested in learning about elementary Dirichlet series and modular forms.