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The Goldbach conjecture /
"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...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Multiple |
| Publicado: |
New Jersey :
World Scientific,
©2002.
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| Edición: | 2nd ed. |
| Colección: | Series in pure mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.