Goldbach ConjectureWorld Scientific, 2002 - 329 páginas 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. |
Índice
Introduction | 1 |
I Representation of An Odd Number as the Sum of Three Primes | 19 |
II Representation of An Even Number as the Sum of Two Almost Primes elementary approach ... | 97 |
III Representation of an Even Number as the Sum of a Prime and an Almost Prime | 183 |
References I | 309 |
| 311 | |
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Términos y frases comunes
A. I. Vinogradov Acta Math Akad Atle Selberg Bombieri Brun character mod Chen deduce denote the number density Dirichlet Dirichlet L-series estimation function G. H. Hardy Hardy and J. E. Hardy and Littlewood Hence inequality interval J. E. Littlewood L-functions L-series Landau large even integer large sieve Lemma Linnik log log log q log2 logº logºz mean value theorem mod q N(Dp Nauk SSSR number of elements number of prime number of zeros obtain odd number odd prime Pan Cheng Dong Partitio numerorum positive integer prime divisors prime factors primitive character proof of Theorem proved R. C. VAUGHAN representation of large result Riemann hypothesis satisfying Sbornik Selberg sieve method sieve of Eratosthenes Sinica sum of primes three primes theorem Vinogradov Wang Yuan Xp(n