Sums of primes and squares of primes in short intervals

被引：3

作者：

Kumchev, Angel V. ^{[1
]}

Liu, J. Y. ^{[2
]}

机构：

[1] Towson Univ, Dept Math, Towson, MD 21252 USA

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2009年 / 157卷 / 04期

关键词：

Waring-Goldbach problem; Exceptional sets; Distribution of primes; Sieve methods; Exponential sums; P MODULO ONE; EXCEPTIONAL SET; THEOREM; VARIABLES;

D O I：

10.1007/s00605-008-0047-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H-2 denote the set of even integers n not equivalent to 1 (mod 3). We prove that when H >= X-0.33, almost all integers n is an element of H-2 boolean AND ( X, X + H] can be represented as the sum of a prime and the square of a prime. We also prove a similar result for sums of three squares of primes.

引用

页码：335 / 363

页数：29

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