Multiplicative Number Theory II: Primes and Sieves - Couverture rigide

Montgomery, Hugh L.; Vaughan, Robert C.

Couverture rigide

ISBN 10 : 1009445057 ISBN 13 : 9781009445054

Editeur : Cambridge University Press, 2026

Synopsis

This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction to basic, classical results) and focuses on sieve methods. This area has witnessed a number of major advances in recent years, e.g. gaps between primes, large values of Dirichlet polynomials and zero density estimates, all of which feature here. Despite the fact that the book can serve as an entry to contemporary mathematics, it remains largely self-contained, with appendices containing background or material more advanced than undergraduate mathematics. Again, exercises, of which there is a profusion, illustrate the theory or indicate ways in which it can be developed. Each chapter ends with a thorough set of references, which will be essential for all analytic number theorists.

A propos du livre

À propos des auteurs

Hugh L. Montgomery is Professor Emeritus in the Department of Mathematics at the University of Michigan, Ann Arbor.

Robert C. Vaughan is Professor of Mathematics at Pennsylvania State University.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 1009445057
• ISBN 13: 9781009445054
• Reliure: Relié
• Nombre de pages: 476
• Coordonnées du fabricant: Cambridge University Press; https://www.cambridge.org/; ; Via Honduras,15; Pomezia; Italia; 71; Italie