The ternary Goldbach problem
type: Item
instance of: scholarly article
title: The ternary Goldbach problem
zbMATH Open document ID: 0599.10041
DOI: 10.4171/RMI/2
author: D. R. Heath-Brown
published in: Revista Matemática Iberoamericana
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/39310
review text: The author shows how I. M. Vinogradov's theorem on the representation of large odd integers as the sums of three primes can be deduced in an ''elementary'' way from the Siegel-Walfisz theorem without using the Hardy- Littlewood method. One of the basic ideas is to imitate von Mangoldt's function \(\Lambda\) (n) by a certain arithmetic sum. Vaughan's identity is also applied.
Mathematics Subject Classification ID: 11P32
zbMATH DE Number: 3966209
zbMATH Keywords: Goldbach problem
zbMATH Keywords: representation of integers
zbMATH Keywords: sums of three primes
zbMATH Keywords: Siegel-Walfisz theorem
zbMATH Keywords: Vaughan's identity
MaRDI profile type: Publication
OpenAlex ID: W1508004954
description: scientific article; zbMATH DE number 3966209