On sums of squares of primes II
On sums of squares of primes II
复制标题
DOI：
10.1016/j.jnt.2010.03.010
复制
发表时间：
2009-02
影响因子：
0.7
通讯作者：
G. Harman;A. Kumchev
中科院分区：
文献类型：
--
作者：
G. Harman;A. Kumchev
在本文中，我们继续我们的研究，开始在G。Harman和AV Kumchev（2006）[10]，属于特殊的整数集，不受初等合同条件的限制，不能表示为三个或四个素数的平方和。我们在第一篇论文中纠正了一个严重的疏忽，但在所需的指数和估计方面取得了进一步的进展，同时对以前采用的筛分技术进行了修饰。这导致我们的边界的最大尺寸的例外集的改进。
In this paper we continue our study, begun in G. Harman and A.V. Kumchev (2006) [10], of the exceptional set of integers, not restricted by elementary congruence conditions, which cannot be represented as sums of three or four squares of primes. We correct a serious oversight in our first paper, but make further progress on the exponential sums estimates needed, together with an embellishment of the previous sieve technique employed. This leads to an improvement in our bounds for the maximal size of the exceptional sets.