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.
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页码：335 / 363
页数：29
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