This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes. About the first edition: ‘… this monograph gives important results and techniques for specific topics, together with many exercises … it is not possible to describe adequately the wealth of material covered in this book.’ Wolfgang Schwarz, Frankfurt am Main A quick introduction to the subject of number theory. Together with ‘Problems in Algebraic Number Theory’ a basic ‘tool kit’ for the number theorist. INDICE: Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.-Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- References.
- ISBN: 978-0-387-72349-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 480
- Fecha Publicación: 01/01/2008
- Nº Volúmenes: 1
- Idioma: Inglés