Linnik's approximation to Goldbach's conjecture, and other problems

被引：22

作者：

Platt, D. J. ^{[1
]}

Trudgian, T. S. ^{[1
]}

机构：

[1] Univ Bristol, Heilbronn Inst Math Res, Bristol, Avon, England

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 153卷

基金：

澳大利亚研究理事会;

关键词：

Goldbach-Waring problem; Additive number theory; Sums of primes; 4 PRIME SQUARES; ODD INTEGERS; POWERS; REPRESENTATION; PAIRS; CUBES; SUMS; EQUATIONS; DENSITY; SIEVE;

D O I：

10.1016/j.jnt.2015.01.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the problem of writing every sufficiently large even number as the sum of two primes and at most K powers of 2. We outline an approach that only just falls short of improving the current bounds on K. Finally, we improve the estimates in other Waring-Goldbach problems. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：54 / 62

页数：9

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