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Title The Goldbach conjecture / [edited by] Yuan Wang
Edition Second edition
Published New Jersey : World Scientific, [2002]
©2002
Online access available from:
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Description 1 online resource (xi, 329 pages) : illustrations
Series Series in pure mathematics ; v. 4
Series in pure mathematics.
Contents I. Representation of An Odd Number as the Sum of Three Primes -- 1. Some problems of "partitio numerorum"; III: on the expression of a number as a sum of primes / G.H. Hardy & J.E. Littlewood -- 2. Representation of an odd number as a sum of three primes / I.M. Vinogradov -- 3. A new proof of the Goldbach-Vinogradov theorem / Ju. V. Linnik -- 4. A new proof on the three primes theorem / C.B. Pan -- 5. An elementary method in prime number theory /R. C. Vaughan -- 6. A complete Vinogradov 3-primes theorem under the Riemann hypothesis / J.M. Deshouillers, G. Effinger, H. Te Riele & D. Zinoviev --- II. Representation of An Even Number as the Sum of Two Almost Primes (elementary approach) -- 7. The sieve of Eratosthenes and the theorem of Goldbach / V. Brun -- 8. New improvements in the method of the sieve of Eratosthenes /A.A. Buchstab -- 9. On prime divisors of polynomials / P. Kuhn -- 10. On an elementary method in the theory of primes / A. Selberg -- 11. On the representation of large even number as a sum of two almost primes / Y. Wang -- 12. Lectures on sieves / A. Selberg --- III. Representation of an Even Number as the Sum of a Prime and an Almost Prime -- 13. On the representation of an even number as the sum of a prime and an almost prime / A. Renyi -- 14. On the representation of large integer as a sum of a prime and an almost prime / Y. Wang -- 15. On representation of even number as the sum of a prime and an almost prime / C.D. Pan -- 16. The "density" of the zeros of Dirichlet L-series and the problem of the sum of primes and "near primes" / M.B. Barban -- 17. New results in the investigation of the Goldbach-Euler problem and the problem of prime pairs /A.A. Buchstab -- 18. The density hypothesis for Dirichlet L-series / A.I. Vinogradov -- 19. On the large sieve / E. Bombieri -- 20. On the representation of a large even integer as the sum of a prime and the product of at most two primes / J.R. Chen -- 21. A new mean value theorem and its applications / C.D. Pan
Summary "This book provides a detailed description of a most important unsolved mathematical problem - the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture."--Book cover
Notes "All papers in Chinese, French, German and Russian have been translated into English"--Pref. to the 1st ed
Bibliography Includes bibliographical references (pages 309-329)
Notes Print version record
Subject Goldbach conjecture.
Number theory.
Numbers, Prime.
Form Electronic book
Author Wang, Yuan, 1930-
ISBN 9789812776600 (electronic bk.)
9812776605 (electronic bk.)