A note on the exceptional set for sums of unlike powers of primes

被引：0
|
作者：
Liu, Yuhui [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年
关键词：
Waring-Goldbach problem; Hardy-Littlewood method; Exceptional set; WARING-GOLDBACH PROBLEM;
D O I：
10.1007/s13226-024-00695-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is proved that with at most O(N13/96+epsilon)exceptions, every sufficiently large even integer satisfying n <= N, n not equivalent to 2(mod3) can be represented as the sum of two squares of primes, one cube of primes and three biquadrates of primes. This result constitutes a refinement upon that of the author [6].
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Diophantine Inequality by Unlike Powers of Primes
    ZHU, Li
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 43 (01) : 125 - 136
  • [32] Diophantine Inequality by Unlike Powers of Primes
    Li ZHU
    Chinese Annals of Mathematics,Series B, 2022, (01) : 125 - 136
  • [33] Diophantine Inequality by Unlike Powers of Primes
    Li Zhu
    Chinese Annals of Mathematics, Series B, 2022, 43 : 125 - 136
  • [34] On pairs of equations in unlike powers of primes and powers of 2
    Hu, Liqun
    Yang, Li
    OPEN MATHEMATICS, 2017, 15 : 1487 - 1494
  • [35] A pair of equations in unlike powers of primes and powers of 2
    Cai, Yong
    Hu, Liqun
    OPEN MATHEMATICS, 2020, 18 : 662 - 670
  • [36] SUMS OF PRIMES AND POWERS OF 2
    GALLAGHE.PX
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A602 - A603
  • [37] POWERS OF SUMS AND THEIR ASSOCIATED PRIMES
    Nguyen, Hop D.
    Quang Hoa Tran
    PACIFIC JOURNAL OF MATHEMATICS, 2022, 316 (01) : 217 - 235
  • [38] EQUAL SUMS OF POWERS OF PRIMES
    FOSTER, LL
    AMERICAN MATHEMATICAL MONTHLY, 1980, 87 (02): : 138 - 138
  • [39] Exceptional Set of Waring-Goldbach Problem with Unequal Powers of Primes
    Zhao, Xiaodong
    TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (04): : 817 - 824
  • [40] Sums of powers of primes II
    Washington, Lawrence C.
    RAMANUJAN JOURNAL, 2024, 65 (02): : 783 - 795
12345