On the almost Goldbach problem of Linnik
type: Item
instance of: scholarly article
title: On the almost Goldbach problem of Linnik
zbMATH Open document ID: 0979.11051
author: Tianze Wang
author: Jianya Liu
author: Ming-Chit Liu
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2002-02-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93725
full work available at URL: jtnb11-1.html
review text: In 1953 \textit{Yu. V. Linnik} [Mat. Sb., Nov. Ser. 32 (74), 3-60 (1953; Zbl 0051.03402)] showed that every large even integer can be written as a sum of two odd primes and a bounded number of powers of 2. Assuming the generalized Riemann hypothesis, the authors show that, for \(k\geq 200\), every even \(N\geq N_k\) can be written as a sum of two odd primes and at most \(k\) powers of 2. They follow the original argument of Linnik, combined with a careful treatment of the numerical constant.
reviewed by: Dieter Wolke
Mathematics Subject Classification ID: 11P32
zbMATH DE Number: 1370108
zbMATH Keywords: almost Goldbach problem
zbMATH Keywords: generalized Riemann hypothesis
MaRDI profile type: Publication
OpenAlex ID: W2312325730
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DOI: 10.5802/JTNB.242
description: scientific article; zbMATH DE number 1370108