The Goldbach Conjecture / Edition 2

Hardcover (Print)
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Product Details

  • ISBN-13: 9789812381590
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 11/20/2002
  • Series: Series in Pure Mathematics
  • Edition number: 2
  • Pages: 344
  • Product dimensions: 6.04 (w) x 8.82 (h) x 0.88 (d)

Table of Contents

Preface to the Second Edition
Preface
Introduction 1
1 Some problems of "partitio numerorum"; III: on the expression of a number as a sum of primes 21
2 Representation of an odd number as a sum of three primes 61
3 A new proof of the Goldbach-Vinogradov theorem 65
4 A new proof on the three primes theorem 72
5 An elementary method in prime number theory 81
6 A complete Vinogradov 3-primes theorem under the Riemann hypothesis 91
7 The sieve of Eratosthenes and the theorem of Goldbach 99
8 New improvements in the method of the sieve of Eratosthenes 137
9 On prime divisors of polynomials 154
10 On an elementary method in the theory of primes 157
11 On the representation of large even number as a sum of two almost primes 161
12 Lectures on sieves 166
13 On the representation of an even number as the sum of a prime and an almost prime 185
14 On the representation of large integer as a sum of a prime and an almost prime 192
15 On representation of even number as the sum of a prime and an almost prime 214
16 The "density" of the zeros of Dirichlet L-series and the problem of the sum of primes and "near primes" 227
17 New results in the investigation of the Goldbach-Euler problem and the problem of prime pairs 238
18 The density hypothesis for Dirichlet L-series 245
19 On the large sieve 249
20 On the representation of a large even integer as the sum of a prime and the product of at most two primes 275
21 A new mean value theorem and its applications 295
References I 309
References II 311
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