Diophantine Inequality by Unlike Powers of Primes

被引：0
|
作者：
Li ZHU [1 ]
机构：
[1] School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance
来源：
Chinese Annals of Mathematics,Series B | 2022年 / 01期
关键词：
D O I：
暂无
中图分类号：
O156.7 [丢番图分析（丢番图数论）];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that λ;, · · ·, λ;are nonzero real numbers, not all of the same sign,satisfying that λ;/λ;is irrational. Then for any given real number η and ε > 0, the inequality |λ;p;+ λ;p;+ λ;p;+ λ;p;+ λ;p;+ η| <（■）;has infinitely many solutions in prime variables p;, · · ·, p;. This result constitutes an improvement of the recent results.
引用
下载
收藏
页码：125 / 136
页数：12
相关论文
共 50 条
  • [41] A ternary Diophantine inequality over primes
    Baker, Roger
    Weingartner, Andreas
    ACTA ARITHMETICA, 2014, 162 (02) : 159 - 196
  • [42] On a diophantine inequality over primes (II)
    Zhai, Wenguang
    Cao, Xiaodong
    MONATSHEFTE FUR MATHEMATIK, 2007, 150 (02): : 173 - 179
  • [43] Diophantine approximation with two primes and powers of two
    Wang, Yuchao
    RAMANUJAN JOURNAL, 2016, 39 (02): : 235 - 245
  • [44] Diophantine approximation with two primes and powers of two
    Yuchao Wang
    The Ramanujan Journal, 2016, 39 : 235 - 245
  • [45] On a ternary Diophantine problem with mixed powers of primes
    Languasco, Alessandro
    Zaccagnini, Alessandro
    ACTA ARITHMETICA, 2013, 159 (04) : 345 - 362
  • [46] Diophantine approximation over primes with different powers
    Liu, Huafeng
    Yue, Jun
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 421
  • [47] A note on the exceptional set for sums of unlike powers of primes
    Liu, Yuhui
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [48] Exceptional set for sums of unlike powers of primes (II)
    Zhang, Min
    Li, Jinjiang
    RAMANUJAN JOURNAL, 2021, 55 (01): : 131 - 140
  • [49] Exceptional set for sums of unlike powers of primes (II)
    Min Zhang
    Jinjiang Li
    The Ramanujan Journal, 2021, 55 : 131 - 140
  • [50] A diophantine inequality involving prime powers
    Kumchev, A
    ACTA ARITHMETICA, 1999, 89 (04) : 311 - 330
12345