On two-variable expanders over finite rings

被引:0
|
作者
Hieu, Do Duy [1 ]
机构
[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam
关键词
Two-variable expanders; Expanders; Finite rings; SUM-PRODUCT ESTIMATE; FIELDS;
D O I
10.1007/s40879-023-00608-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give the finite ring versions of some results on two-variable expanders, which were studied over finite fields by Balog et al. and Hart et al.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] On two-variable expanders over finite rings
    Do Duy Hieu
    European Journal of Mathematics, 2023, 9
  • [2] Conditional expanding bounds for two-variable functions over finite valuation rings
    Le Quang Ham
    Pham Van Thang
    Le Anh Vinh
    EUROPEAN JOURNAL OF COMBINATORICS, 2017, 60 : 114 - 123
  • [3] On three-variable expanders over finite valuation rings
    Le Quang Ham
    Nguyen Van The
    Tran, Phuc D.
    Le Anh Vinh
    FORUM MATHEMATICUM, 2021, 33 (01) : 17 - 27
  • [4] On the number of solutions of two-variable diagonal quartic equations over finite fields
    Zhao, Junyong
    Zhao, Yang
    Niu, Yujun
    AIMS MATHEMATICS, 2020, 5 (04): : 2979 - 2991
  • [5] On the number of solutions of two-variable diagonal sextic equations over finite fields
    Hu, Shuangnian
    Feng, Rongquan
    AIMS MATHEMATICS, 2022, 7 (06): : 10554 - 10563
  • [6] Two-variable identities for finite solvable groups
    Bandman, T
    Greuel, GM
    Grunewald, F
    Kunyavskii, B
    Pfister, G
    Plotkin, E
    COMPTES RENDUS MATHEMATIQUE, 2003, 337 (09) : 581 - 586
  • [7] Short two-variable identities for finite groups
    Cargo, David P.
    de Launey, Warwick
    Liebeck, Martin W.
    Stafford, Richard M.
    JOURNAL OF GROUP THEORY, 2008, 11 (05) : 675 - 690
  • [8] Complexity of Two-Variable Logic on Finite Trees
    Benaim, Saguy
    Benedikt, Michael
    Charatonik, Witold
    Kieronski, Emanuel
    Lenhardt, Rastislav
    Mazowiecki, Filip
    Worrell, James
    ACM TRANSACTIONS ON COMPUTATIONAL LOGIC, 2016, 17 (04)
  • [9] Complexity of Two-Variable Logic on Finite Trees
    Benaim, Saguy
    Benedikt, Michael
    Charatonik, Witold
    Kieronski, Emanuel
    Lenhardt, Rastislav
    Mazowiecki, Filip
    Worrell, James
    AUTOMATA, LANGUAGES, AND PROGRAMMING, PT II, 2013, 7966 : 74 - 88
  • [10] On Finite Classes of Two-Variable Orthogonal Polynomials
    Esra Güldoğan
    Rabia Aktaş
    Mohammad Masjed-Jamei
    Bulletin of the Iranian Mathematical Society, 2020, 46 : 1163 - 1194