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 GoldbachVinogradov 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 3primes 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 Lseries and the problem of the sum of primes and "near primes" / M.B. Barban  17. New results in the investigation of the GoldbachEuler problem and the problem of prime pairs /A.A. Buchstab  18. The density hypothesis for Dirichlet Lseries / 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 309329) 
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.) 
