关于4个素数平方与2的方幂之和的整数对（英文）  

On Pairs of Four Prime Squares and Powers of Two

作　　者：牟全武[1] 李英杰[2] 

机构地区：[1]西安工程大学理学院,西安陕西710048 [2]上海海洋大学信息学院,上海201306

出　　处：《数学进展》2016年第5期679-686,共8页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11201107.No.11271283);the Natural Science Basic Research Plan in Shaanxi Province of China(No.2016JM1013);the Starting Research Fund for Doctors of Xi'an Polytechnic University(No.BS1508);the Quality Improvement Project for Basic Curriculum(Higher Mathematics)of Xi'an Polytechnic University

摘　　要：证明了每一对满足一些必要条件的大偶数,能表示为4个素数的平方与117个2的方幂之和的形式。这改进了最近的结果.It is proved that every pair of large positive even integers satisfying some necessary conditions can be represented in the form of a pair of four prime squares and 117 powers of 2. This improves a recent result with 142 replaced by 117.

关 键 词：Hardy-Littlewood方法 Goldbach-Linnik问题 2的方幂 

分 类 号：O156.4[理学—数学]