Goldbach Conjecture, 2nd Edition

By: Yuan Wang (Editor)

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Hardcover | 21 November 2002 | Edition Number 2

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Hardcover
344 Pages

Edition Type
Revised

Dimensions(cm)
15.88 x 23.5 x 2.54

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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 1920s. This work gives an exposition of these results and their impact on mathematics, in particular, 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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Preface to the Second Edition
Preface
Introduction	p. 1
Some problems of "partitio numerorum"; III: on the expression of a number as a sum of primes	p. 21
Representation of an odd number as a sum of three primes	p. 61
A new proof of the Goldbach-Vinogradov theorem	p. 65
A new proof on the three primes theorem	p. 72
An elementary method in prime number theory	p. 81
A complete Vinogradov 3-primes theorem under the Riemann hypothesis	p. 91
The sieve of Eratosthenes and the theorem of Goldbach	p. 99
New improvements in the method of the sieve of Eratosthenes	p. 137
On prime divisors of polynomials	p. 154
On an elementary method in the theory of primes	p. 157
On the representation of large even number as a sum of two almost primes	p. 161
Lectures on sieves	p. 166
On the representation of an even number as the sum of a prime and an almost prime	p. 185
On the representation of large integer as a sum of a prime and an almost prime	p. 192
On representation of even number as the sum of a prime and an almost prime	p. 214
The "density" of the zeros of Dirichlet L-series and the problem of the sum of primes and "near primes"	p. 227
New results in the investigation of the Goldbach-Euler problem and the problem of prime pairs	p. 238
The density hypothesis for Dirichlet L-series	p. 245
On the large sieve	p. 249
On the representation of a large even integer as the sum of a prime and the product of at most two primes	p. 275
A new mean value theorem and its applications	p. 295
References I	p. 309
References II	p. 311
Table of Contents provided by Blackwell. All Rights Reserved.

Goldbach Conjecture, 2nd Edition

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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