Analytic Number Theory: An Introductory Course - Couverture rigide

Bateman, Paul Trevier; Diamond, Harold G

Couverture rigide

ISBN 10 : 9812389385 ISBN 13 : 9789812389381

Editeur : World Scientific Publishing Co Pte Ltd, 2004

Synopsis

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.Comments and corrigenda for the book are found at www.math.uiuc.edu/ diamond/.

A propos du livre

Présentation de l'éditeur

“This book also includes a nice introduction to sieve methods . . . Overall, this is a nice wellwritten book with plenty of material for a oneyear graduate course. It would also make nice supplementary reading for a student or researher learning the subject.” Maa Online Book Review “This is a nice introductory book on analytic number theory for students or readers with some background in real analysis, complex analysis, number theory and abstract algebra . . . There are various exercises throughout the entire book. Moreover, at the end of each chapter, historical backgrounds and developments of each particular subject or theorem are given together with references.” Mathematical Reviews “This book is suitable for beginning graduate students, or possibly even advanced undergraduates.” Zentralblatt Math This valuable book focuses on a collection of powerful methods of analysis that yield deep numbertheoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed. Comments and corrigenda for the book are found at http://www.math.uiuc.edu/~diamond/.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2004
• Langue: anglais
• ISBN 10: 9812389385
• ISBN 13: 9789812389381
• Reliure: Relié
• Nombre de pages: 376
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible