This is a truly comprehensive account of sieves and their applications, by two of the world's greatest authorities. Beginners will find a thorough introduction to the subject, with plenty of helpful motivation. The more practised reader will appreciate the authors' insights into some of the more mysterious parts of the theory, as well as the wealth of new examples. No analytic number theorist should be without this volume, but it will not have a place on my bookshelves--it will be permanently on my desk! --Roger Heath-Brown, University of Oxford, Fellow of Royal Society . This is a comprehensive and up-to-date treatment of sieve methods. The theory of the sieve is developed thoroughly with complete and accessible proofs of the basic theorems. Included is a wide range of applications, both to traditional questions such as those concerning primes, and to areas previously unexplored by sieve methods, such as elliptic curves, points on cubic surfaces and quantum ergodicity. New proofs are given also of some of the central theorems of analytic number theory; these proofs emphasize and take advantage of the applicability of sieve ideas. The book contains numerous comments which provide the reader with insight into the workings of the subject, both as to what the sieve can do and what it cannot do. The authors reveal recent developments by which the parity barrier can be breached, exposing golden nuggets of the subject, previously inaccessible. The variety in the topics covered and in the levels of difficulty encountered makes this a work of value to novices and experts alike, both as an educational tool and a basic reference.
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Our understanding of sieves has improved greatly over the past 20 or 30 years, in large part due to the efforts of this book's authors, and proofs that use to take many pages in an almost incomprehensible notation can now be done cleanly in one page. This book does a good job of keeping the notation under control. ---- MAA Reviews
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Descripción American Mathematical Society, 2010. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería P110821849700
Descripción American Mathematical Society, 2010. Hardcover. Estado de conservación: New. Brand New!. Nº de ref. de la librería VIB0821849700
Descripción Amer Mathematical Society, 2010. Hardcover. Estado de conservación: Brand New. 527 pages. 10.50x7.50x1.25 inches. In Stock. Nº de ref. de la librería 0821849700
Descripción American Mathematical Society, 2010. Estado de conservación: new. Shiny and new! Expect delivery in 20 days. Nº de ref. de la librería 9780821849705-1