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关于4个素数平方与2的方幂之和的整数对（英文） 被引量：1

On Pairs of Four Prime Squares and Powers of Two
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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.
作者 牟全武 李英杰
机构地区 西安工程大学理学院 上海海洋大学信息学院
出处 《数学进展》 CSCD 北大核心 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
关键词 Hardy-Littlewood方法 Goldbach-Linnik问题 2的方幂 Hardy-Littlewood method Goldbach-Linnik problem powers of 2
分类号 O156.4 [理学—基础数学]
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参考文献12

  • 1Heath-Brown, D.R. and Puchta, J.C., Integers represented as a sum of primes and powers of two, Asian J. Math., 2002, 6(3): 535-565.
  • 2Hu, L.Q. and Liu, H.F., On pairs of four prime squares and powers of two, J. Number Theory, 2015, 147: 594-604.
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  • 8Liu, Z.X., On pairs of quadratic equations in primes and powers of 2, J. Number Theory, 2013, 133(10): 3339-3347.
  • 9Liu, Z.X., One prime, two squares of primes and powers of 2, Acta Math. Hungar., 2014, 143(1): 3-12.
  • 10Titchmarsh, E.C., The Theory of the Riemann Zeta-function, 2nd Edition (Revised by D. R. Heath-Brown), Oxford: Oxford University Press, 1987.

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数学进展
2016年 第5期

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