首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Degree matrices and divisibility of exponential sums over finite fields
Authors:Jianming Chen  Wei Cao
Institution:1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, 321004, People’s Republic ofChina
2. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, People’s Republic of China
Abstract:By using the degree matrix, we provide an elementary and algorithmic approach to estimating the divisibility of exponential sums over prime fields, which improves the Adolphson–Sperber theorem obtained by using the Newton polyhedron. Our result also improves the Ax–Katz theorem on estimating the number of rational points on hypersurfaces over prime fields.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号