Rational points and zeta functions of some curves over finite fields

作     者：WANG Long1, & LUO JinQuan2,3 1Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China 2School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China 3Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technology University, 637371, Singapore 

作者机构：Department of Mathematical Sciences Tsinghua University Beijing China School of Mathematical Sciences Yangzhou University Yangzhou China Division of Mathematical Sciences School of Physical and Mathematical Sciences Nanyang Technology University Singapore Singapore 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第11期

页      面：2855-2863页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No.60903036) Natural Science Foundation of Jiangsu Province, China (Grant No. BK2009182) 

主　　题：exponential sum rational point rational place zeta function 

摘      要：In this paper we study the number of rational points on some curves over finite fields. Moreover, zeta functions of the associated function fields are evaluated explicitly.