On unequal powers of primes and powers of 2

被引:0
|
作者
Xiaodong Lü
机构
[1] Yangzhou University,School of Mathematical Science
来源
The Ramanujan Journal | 2019年 / 50卷
关键词
Waring–Goldbach problem; Circle method; 11P32; 11N05; 11N55;
D O I
暂无
中图分类号
学科分类号
摘要
In this note, we will show that every sufficiently large even integer can be represented as a sum of two squares of primes, two cubes of primes, two fourths of primes and 24 powers of 2. This is an improvement of Z. Liu’s result.
引用
收藏
页码:111 / 121
页数:10
相关论文
共 50 条
  • [1] On unequal powers of primes and powers of 2
    Lu, Xiaodong
    [J]. RAMANUJAN JOURNAL, 2019, 50 (01): : 111 - 121
  • [2] On unequal powers of primes and powers of 2
    L. Zhao
    [J]. Acta Mathematica Hungarica, 2015, 146 : 405 - 420
  • [3] On unequal powers of primes and powers of 2
    Zhao, L.
    [J]. ACTA MATHEMATICA HUNGARICA, 2015, 146 (02) : 405 - 420
  • [4] Two equations in unequal powers of primes and powers of 2
    Cai, Yong
    Yang, Li
    [J]. Italian Journal of Pure and Applied Mathematics, 2022, 47 : 1059 - 1069
  • [5] Two equations in unequal powers of primes and powers of 2
    Cai, Yong
    Yang, Li
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (47): : 1059 - 1069
  • [6] Goldbach-Linnik type problems involving unequal powers of primes and powers of 2
    Han, Xue
    Liu, Huafeng
    Yue, Ruiyang
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2024, 31 (02) : 220 - 237
  • [7] On unlike powers of primes and powers of 2
    Liu, Z. X.
    Lue, G. S.
    [J]. ACTA MATHEMATICA HUNGARICA, 2011, 132 (1-2) : 125 - 139
  • [8] On unlike powers of primes and powers of 2
    Zhixin Liu
    Guangshi Lü
    [J]. Acta Mathematica Hungarica, 2011, 132 : 125 - 139
  • [9] Small solutions of an equation with unequal powers of primes
    Liu, Zhixin
    Zhang, Rui
    [J]. ACTA ARITHMETICA, 2020, 195 (01) : 57 - 68
  • [10] PRIMES AND POWERS OF 2
    GALLAGHER, PX
    [J]. INVENTIONES MATHEMATICAE, 1975, 29 (02) : 125 - 142