摘要
L-函数蕴藏着深刻的算术信息,是数论中重要的研究对象.有限域上多项式的指数和及其L-函数在一般情形下难以计算.通过利用高斯和及多项式的次数矩阵的Smith标准形,得到了在特定情形下有限域上一类多项式的指数和及其L-函数的具体公式.
L-functions contains rich information of arithmetic and are an important study object in number theory. In general it is difficult to compute the exponential sums and the corresponding L-functions of the polynomials over finite fields. Using Gauss sums and the Smith normal form of the degree matrix for polynomials over finite fields, we obtain the explicit formulas for the exponential sums and the corresponding L-functions of polynomials over finite fields under certain conditions.
作者
韩山猛
祝美玲
曹炜
Han Shanmeng Zhu Meiling Cao Wei(Department of Mathematics, Ningbo University, Ningbo 315211, China)
出处
《纯粹数学与应用数学》
2017年第1期92-101,共10页
Pure and Applied Mathematics
基金
国家自然科学基金(11371208)
宁波市自然科学基金(2016A610079)
