The Goldbach conjecture 2nd Edition by Yuan Wang ISBN 9812776600 9789812776600

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ISBN 10: 9812776600
ISBN 13: 9789812776600
Author: Yuan Wang

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.

The Goldbach conjecture 2nd Table of 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

2. Representation of an odd number as a sum of three primes

3. A new proof of the Goldbach-Vinogradov theorem

4. A new proof on the three primes theorem

5. An elementary method in prime number theory

6. A complete Vinogradov 3-primes theorem under the Riemann hypothesis

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

8. New improvements in the method of the sieve of Eratosthenes

9. On prime divisors of polynomials

10. On an elementary method in the theory of primes

11. On the representation of large even number as a sum of two almost primes

12. Lectures on sieves

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

14. On the representation of large integer as a sum of a prime and an almost prime

15. On representation of even number as the sum of a prime and an almost prime

16. The “density” of the zeros of Dirichlet L-series and the problem of the sum of primes and “near

17. New results in the investigation of the Goldbach- Euler problem and the problem of prime pairs

18. The density hypothesis for Dirichlet L-series

19. On the large sieve

20. On the representation of a larger even integer as the sum of a prime and the product of at most

21. A new mean value theorem and its applications

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