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OverviewDerived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve number-theoretical problems. This text by a noted pair of experts is regarded as the definitive work on the subject. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications.""""For years to come, Sieve Methods will be vital to those seeking to work in the subject, and also to those seeking to make applications,"""" noted prominent mathematician Hugh Montgomery in his review of this volume for the Bulletin of the American Mathematical Society. The authors supply the theoretical background for the method of Jurkat-Richert and illustrate it by means of significant applications, concentrating on the """"small"""" sieves of Brun and Selberg. Additional topics include the linear sieve, a weighted sieve, and Chen's theorem. Full Product DetailsAuthor: Heine Halberstam , Hans-Egon Richert , H HalberstamPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 13.60cm , Height: 1.70cm , Length: 21.60cm Weight: 0.397kg ISBN: 9780486479392ISBN 10: 0486479390 Pages: 384 Publication Date: 30 September 2011 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreface to the Dover Edition Preface Notation Introduction 1. Hypothesis H and Hn 2. Sieve Methods 3. Scope and Presentation 1. The Sieve of Eratosthenes: Formulation of the General Sieve Problem 2. The Combinatorial Sieve 3. The Simplest Seberg Upper Bound Method 4. The Selberg Upper Bound Method: Explicit Estimates 6. An Extension of Selberg's Upper Bound Method 7. Selberg's Sieve Method: A First Lower Bound 8. The Linear Sieve 9. A Weighted Sieve: The Linear Case 10. Weighted Sieves: The General Case 11. Chen's Theorem Bibliography ReferencesReviewsAuthor InformationA world-renowned expert on analytic number theory, Heine Halberstam is an award-winning educator and a founder of Nottingham University's Shell Centre for Mathematics Education. German mathematician Hans-Egon Richert worked primarily in analytic number theory until shifting his focus in 1965 to collaborate with Heine Halberstam on sieve theory. For many years, he was the chairman of the Analytic Number Theory meetings at Germany's Mathematical Research Institute. Tab Content 6Author Website:Countries AvailableAll regions |
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