This book systematically develops some methods for proving the non-vanishing of certain L-functions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and non-specialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory tobring the reader to a point where the latest discoveries as are presented in the final chapters can be fully appreciated. Well-written monograph on a difficult but attractive subject in number theory. Provides an excellent easy-to-read introduction to the modern analytic theory of L-functions. Each chapter is accompanied by exercises. INDICE: Preface. Introduction. Chapter 1 The Prime Number Theorem and Generalizations. Chapter 2 Artin L-functions. Chapter 3 Equidistribution and L-functions. Chapter 4 Modular Forms and Dirichlet Series. Chapter 5 Dirichlet L-functions. Chapter 6 Non-vanishing of Quadratic Twists of Modular L-functions. Chapter 7 Selberg's Conjectures. Chapter 8 Suggestions for further reading. Author index. Subject index.
- ISBN: 978-3-0348-0273-4
- Editorial: Springer Basel
- Encuadernacion: Rústica
- Páginas: 196
- Fecha Publicación: 31/12/2011
- Nº Volúmenes: 1
- Idioma: Inglés