Generic exponential sums associated with polynomials of degree 3 in two variables

被引:2
|
作者
Niu, Chuan Ze [1 ,2 ]
机构
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
基金
中国国家自然科学基金;
关键词
L-Function; exponential sums; generic Newton polygon; two variables; POLYGONS;
D O I
10.1007/s10114-012-0237-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The generic Newton polygon of L-functions associated with the exponential sums of polynomials of degree 3 in two variables is studied by Dwork's analytic methods. Wan's conjecture is shown to be true for this case.
引用
收藏
页码:2301 / 2312
页数:12
相关论文
共 50 条
  • [21] Observations on Interpolation by Total Degree Polynomials in Two Variables
    Jesús Carnicer
    Tomas Sauer
    Constructive Approximation, 2018, 47 : 373 - 389
  • [22] Observations on Interpolation by Total Degree Polynomials in Two Variables
    Carnicer, Jesus
    Sauer, Tomas
    CONSTRUCTIVE APPROXIMATION, 2018, 47 (03) : 373 - 389
  • [23] Generic A-family of exponential sums
    Zhu, Hui June
    JOURNAL OF NUMBER THEORY, 2014, 143 : 82 - 101
  • [24] Divisor sums of generalised exponential polynomials
    Everest, GR
    Shparlinski, IE
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1996, 39 (01): : 35 - 46
  • [25] POSITIVE EXPONENTIAL SUMS AND ODD POLYNOMIALS
    Nincevic, Marina
    Slijepcevic, Sinisa
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2014, 18 (519): : 35 - 53
  • [26] The hybrid power mean involving character sums of polynomials and two-term exponential sums
    Zhang Wenpeng
    Lv Xingxing
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020, 63 (04): : 395 - 406
  • [27] Parameter estimation of monomial-exponential sums in one and two variables
    Fermo, L.
    van der Mee, C.
    Seatzu, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 576 - 586
  • [28] Exponential Sums for Eighth Degree Polynomial
    Low, C. W.
    Sapar, S. H.
    Johari, M. A. M.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (01): : 115 - 138
  • [29] SOME EXPONENTIAL SUMS IN SEVERAL VARIABLES
    MORDELL, LJ
    MONATSHEFTE FUR MATHEMATIK, 1969, 73 (04): : 348 - &
  • [30] Twisted exponential sums of polynomials in one variable
    LIU ChunLei1
    2Department of Fundamental Subject
    3School of Mathematical Sciences
    Science China Mathematics, 2010, 53 (09) : 2395 - 2404