Generic exponential sums associated with polynomials of degree 3 in two variables
被引:2
|
作者:
Niu, Chuan Ze
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaLiaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
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
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.
机构:
Univ Fed Rio de Janeiro, Dept Matemat Aplicada, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, BrazilUniv Fed Rio de Janeiro, Dept Matemat Aplicada, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, Brazil