# The ternary Goldbach problem.

David Rodney (Roger) Heath-Brown

Revista Matemática Iberoamericana (1985)

- Volume: 1, Issue: 1, page 45-59
- ISSN: 0213-2230

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topHeath-Brown, David Rodney (Roger). "The ternary Goldbach problem.." Revista Matemática Iberoamericana 1.1 (1985): 45-59. <http://eudml.org/doc/39310>.

@article{Heath1985,

abstract = {The object of this paper is to present new proofs of the classical ternary theorems of additive prime number theory. Of these the best known is Vinogradov's result on the representation of odd numbers as the sums of three primes; other results will be discussed later. Earlier treatments of these problems used the Hardy-Littlewood circle method, and are highly analytical. In contrast, the method we use here is a (technically) elementary deduction from the Siegel-Walfisz Prime Number Theory. It uses ideas from Linnik's dispersion method, together with Vaughan's identity.},

author = {Heath-Brown, David Rodney (Roger)},

journal = {Revista Matemática Iberoamericana},

keywords = {Teoría analítica de números; Teoría multiplicativa de números; Problema de Goldbach; Goldbach problem; representation of integers; sums of three primes; Siegel-Walfisz theorem; Vaughan's identity},

language = {eng},

number = {1},

pages = {45-59},

title = {The ternary Goldbach problem.},

url = {http://eudml.org/doc/39310},

volume = {1},

year = {1985},

}

TY - JOUR

AU - Heath-Brown, David Rodney (Roger)

TI - The ternary Goldbach problem.

JO - Revista Matemática Iberoamericana

PY - 1985

VL - 1

IS - 1

SP - 45

EP - 59

AB - The object of this paper is to present new proofs of the classical ternary theorems of additive prime number theory. Of these the best known is Vinogradov's result on the representation of odd numbers as the sums of three primes; other results will be discussed later. Earlier treatments of these problems used the Hardy-Littlewood circle method, and are highly analytical. In contrast, the method we use here is a (technically) elementary deduction from the Siegel-Walfisz Prime Number Theory. It uses ideas from Linnik's dispersion method, together with Vaughan's identity.

LA - eng

KW - Teoría analítica de números; Teoría multiplicativa de números; Problema de Goldbach; Goldbach problem; representation of integers; sums of three primes; Siegel-Walfisz theorem; Vaughan's identity

UR - http://eudml.org/doc/39310

ER -

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