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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 : 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 : Yoichi Motohashi
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.3/5 (91 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 : Heine Halberstam
Publisher : Courier Corporation
ISBN 13 : 0486320804
Total Pages : 384 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 384 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 :
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 : 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 : 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 : Glyn Harman
Publisher : Princeton University Press
ISBN 13 : 0691202990
Total Pages : 378 pages
Book Rating : 4.6/5 (912 download)
Download or read book Prime-Detecting Sieves (LMS-33) written by Glyn Harman and published by Princeton University Press. This book was released on 2020-05-26 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers.
Author : George Greaves
Publisher : Springer Science & Business Media
ISBN 13 : 9783540416470
Total Pages : 324 pages
Book Rating : 4.4/5 (164 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 2001-06-20 with total page 324 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 : 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 : 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 : C. Hooley
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.:/5 (477 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 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hugh L. Montgomery
Publisher : Cambridge University Press
ISBN 13 : 9780521849036
Total Pages : 574 pages
Book Rating : 4.8/5 (49 download)
Download or read book Multiplicative Number Theory I written by Hugh L. Montgomery and published by Cambridge University Press. This book was released on 2007 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
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 : Atle Selberg
Publisher : Springer
ISBN 13 : 9783642410222
Total Pages : 0 pages
Book Rating : 4.4/5 (12 download)
Download or read book Collected Papers II written by Atle Selberg and published by Springer. This book was released on 2014-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Atle Selberg's early work, which lies in the fields of analysis and number theory, concerns the Riemann zeta-function, Dirichlet’s L-functions, the Fourier coefficients of modular forms, the distribution of prime numbers and the general sieve method. It is brilliant and unsurpassed, and is in the finest classical tradition. His later work, which cuts across function theory, operator theory, spectral theory, group theory, topology, differential geometry and number theory, has enlarged and transfigured the whole concept and structure of arithmetic. It exemplifies the modern tradition at its sprightly best and reveals Selberg to be one of the master mathematicians of our time. This publication will enable the reader to perceive the depth and originality of Atle Selberg’s ideas and results, and sense the scale and intensity of their influence on contemporary mathematical thought. The second volume contains material on which Selberg has lectured – some later papers from 1988 onward and, in the major part, the “Lectures on Sieves”.
Author : Krishnaswami Alladi
Publisher : Springer
ISBN 13 : 354039642X
Total Pages : 224 pages
Book Rating : 4.5/5 (43 download)
Download or read book Number Theory written by Krishnaswami Alladi and published by Springer. This book was released on 2006-11-14 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wladyslaw Narkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3662131579
Total Pages : 457 pages
Book Rating : 4.6/5 (621 download)
Download or read book The Development of Prime Number Theory written by Wladyslaw Narkiewicz and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen ta, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul ErdOs, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became in terested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribu tion of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book.
