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Author : Hans-Egon Richert
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Sieve Methods written by Hans-Egon Richert and published by . This book was released on 1976 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heine Halberstam
Publisher : Courier Corporation
ISBN 13 : 0486320804
Total Pages : 386 pages
Book Rating : 4.4/5 (863 download)
Download or read book Sieve Methods written by Heine Halberstam and published by Courier Corporation. This book was released on 2013-09-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text by a noted pair of experts is regarded as the definitive work on sieve methods. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 edition.
Author : G. R. H. Greaves
Publisher : Cambridge University Press
ISBN 13 : 0521589576
Total Pages : 360 pages
Book Rating : 4.5/5 (215 download)
Download or read book Sieve Methods, Exponential Sums, and Their Applications in Number Theory written by G. R. H. Greaves and published by Cambridge University Press. This book was released on 1997-01-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art analytic number theory proceedings.
Author : Alina Carmen Cojocaru
Publisher : Cambridge University Press
ISBN 13 : 9780521848169
Total Pages : 250 pages
Book Rating : 4.8/5 (481 download)
Download or read book An Introduction to Sieve Methods and Their Applications written by Alina Carmen Cojocaru and published by Cambridge University Press. This book was released on 2005-12-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rather than focus on the technical details which can obscure the beauty of sieve theory, the authors focus on examples and applications, developing the theory in parallel.
Author : Yoichi Motohashi
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.3/5 (97 download)
Download or read book Lectures on Sieve Methods and Prime Number Theory written by Yoichi Motohashi and published by . This book was released on 1983 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henryk Iwaniec
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (114 download)
Download or read book Sieve Methods written by Henryk Iwaniec and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arjen K. Lenstra
Publisher : Springer
ISBN 13 : 3540478922
Total Pages : 138 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Development of the Number Field Sieve written by Arjen K. Lenstra and published by Springer. This book was released on 2006-11-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.
Author :
Publisher :
ISBN 13 :
Total Pages : 205 pages
Book Rating : 4.:/5 (12 download)
Download or read book Lectures on Sieve Methods and Prime Number Theory written by and published by . This book was released on 1983 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. Hooley
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (472 download)
Download or read book Applications of Sieve Methods to the Theory of Numbers written by C. Hooley and published by . This book was released on 1976 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hugh L. Montgomery
Publisher : American Mathematical Soc.
ISBN 13 : 0821807374
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)
Download or read book Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis written by Hugh L. Montgomery and published by American Mathematical Soc.. This book was released on 1994 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One particularly valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. The book should be a useful resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.
Author : John B. Friedlander
Publisher : American Mathematical Soc.
ISBN 13 : 0821849700
Total Pages : 554 pages
Book Rating : 4.8/5 (218 download)
Download or read book Opera de Cribro written by John B. Friedlander and published by American Mathematical Soc.. This book was released on 2010-06-22 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a true masterpiece that will prove to be indispensable to the serious researcher for many years to come. --Enrico Bombieri, Institute for Advanced Study 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. --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 developements 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.
Author : J. B. Friedlander
Publisher : Springer Science & Business Media
ISBN 13 : 3540363637
Total Pages : 224 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analytic Number Theory written by J. B. Friedlander and published by Springer Science & Business Media. This book was released on 2006 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-P. Serre
Publisher : Springer Science & Business Media
ISBN 13 : 3663106322
Total Pages : 228 pages
Book Rating : 4.6/5 (631 download)
Download or read book Lectures on the Mordell-Weil Theorem written by Jean-P. Serre and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on a course given by J.-P. Serre at the Collège de France in 1980 and 1981. Basic techniques in Diophantine geometry are covered, such as heights, the Mordell-Weil theorem, Siegel's and Baker's theorems, Hilbert's irreducibility theorem, and the large sieve. Included are applications to, for example, Mordell's conjecture, the construction of Galois extensions, and the classical class number 1 problem. Comprehensive bibliographical references.
Author : George Greaves
Publisher : Springer Science & Business Media
ISBN 13 : 366204658X
Total Pages : 312 pages
Book Rating : 4.6/5 (62 download)
Download or read book Sieves in Number Theory written by George Greaves and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
Author : Hugh L. Montgomery
Publisher : Springer
ISBN 13 : 354036935X
Total Pages : 187 pages
Book Rating : 4.5/5 (43 download)
Download or read book Topics in Multiplicative Number Theory written by Hugh L. Montgomery and published by Springer. This book was released on 2006-11-15 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Pollack
Publisher : American Mathematical Soc.
ISBN 13 : 0821848801
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Not Always Buried Deep written by Paul Pollack and published by American Mathematical Soc.. This book was released on 2009-10-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.
Author : A. M. Odlyzko
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.3/5 (91 download)
Download or read book Sieve Methods written by A. M. Odlyzko and published by . This book was released on 1971 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
