ON SQUARES IN PIATETSKI-SHAPIRO SEQUENCES

被引:1
|
作者
Zhang, Wei [1 ]
机构
[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Henan, Peoples R China
关键词
Piatetski-Shapiro sequences; exponent pair; exponential sums; square-free; NUMBERS;
D O I
10.7169/facm/1972
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We can improve some previous results related to the distribution of squares in Piatetski-Shapiro sequences of Liu-Shparlinski-Zhang.
引用
收藏
页码:227 / 236
页数:10
相关论文
共 46 条
  • [1] Squares in Piatetski-Shapiro sequences
    Liu, Kui
    Shparlinski, Igor E.
    Zhang, Tianping
    ACTA ARITHMETICA, 2017, 181 (03) : 239 - 252
  • [2] Piatetski-Shapiro sequences
    Baker, Roger C.
    Banks, William D.
    Bruedern, Joerg
    Shparlinski, Igor E.
    Weingartner, Andreas J.
    ACTA ARITHMETICA, 2013, 157 (01) : 37 - 68
  • [3] A Generalization of Piatetski-Shapiro Sequences
    Guo, Victor Zhenyu
    Qi, Jinyun
    TAIWANESE JOURNAL OF MATHEMATICS, 2022, 26 (01): : 33 - 47
  • [4] Almost primes in Piatetski-Shapiro sequences
    Guo, Victor Zhenyu
    AIMS MATHEMATICS, 2021, 6 (09): : 9536 - 9546
  • [5] kth powers in Piatetski-Shapiro sequences
    Qi, Jinyun
    Guo, Victor Zhenyu
    Xu, Zhefeng
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (08) : 1791 - 1806
  • [6] A generalization of Piatetski-Shapiro sequences (II)
    Li, Jinjiang
    Qi, Jinyun
    Zhang, Min
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [7] Rough values of Piatetski-Shapiro sequences
    Yıldırım Akbal
    Monatshefte für Mathematik, 2018, 185 : 1 - 15
  • [8] Rough values of Piatetski-Shapiro sequences
    Akbal, Yildirim
    MONATSHEFTE FUR MATHEMATIK, 2018, 185 (01): : 1 - 15
  • [9] Piatetski-Shapiro sequences via Beatty sequences
    Spiegelhofer, Lukas
    ACTA ARITHMETICA, 2014, 166 (03) : 201 - 229
  • [10] Almost primes in generalized Piatetski-Shapiro sequences
    Qi, Jinyun
    Xu, Zhefeng
    AIMS MATHEMATICS, 2022, 7 (08): : 14154 - 14162