On pairs of linear equations in four prime variables and powers of two

Authors

  • Yafang Kong

Keywords:

linear equations, Hardy-Littlewood method, primes, powers of 2

Abstract

In this paper, we consider the simultaneous representation for pairs of positive integers. Indeed, we show that every pair of large positive even integers can be represented in the form of a pair of linear equations in four prime variables and k powers of two. Here k=63 in general case and k=31 under the Generalized Riemann Hypothesis. DOI: 10.1017/S0004972712000172

Published

2012-12-17

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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