Goldbach conjecture /

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Bibliographic Details
Edition:2nd ed.
Imprint:River Edge, NJ : World Scientific, c2002.
Description:xi, 329 p. ; 23 cm.
Language:English
Series:Series in pure mathematics ; v. 4
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4827442
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Other authors / contributors:Wang, Yuan, 1930-
ISBN:9812381597 (acid-free paper)
Notes:"All papers in Chinese, French, German and Russian have been translated into English"--Pref. to the 1st ed.
Includes bibliographical references (p. 309-329).
Table of Contents:
  • 1. Some problems of "partitio numerorum"; III: on the expression of a number as a sum of primes / G. H. Hardy and 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 and D. Zinoviev
  • 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
  • 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.