Goldbach Conjecture, 2nd Edition
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.
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I Representation of An Odd Number as the Sum of Three Primes
II Representation of An Even Number as the Sum of Two Almost Primes elementary approach ...
III Representation of an Even Number as the Sum of a Prime and an Almost Prime
A. I. Vinogradov Acta Arith Acta Math Akad Atle Selberg Bombieri Brun character mod Chen denote the number density Dirichlet L-series Dokl estimation function G. H. Hardy Goldbach conjecture Goldbach problem Hardy and J. E. Hence inequality interval J. E. Littlewood L-functions Landau large even integer large sieve Lemma Linnik log log log q logº logºz London Math mean value theorem mod q Nauk SSSR number of elements number of prime number of zeros obtain odd number odd primes Pan Cheng Dong Partitio numerorum positive integer prime divisors prime factors Proc 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 Viggo Brun Vinogradov Wang Yuan