关于函数域中指数和的界  

Bounds on exponential sum in function fields

作　　者：黎娇 曹亚萌 李国全[1] LI Jiao;CAO Yameng;LI Guoquan(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2018年第5期20-22,共3页Journal of Tianjin Normal University：Natural Science Edition

摘　　要：对于特征为p的有限域Fq上的多项式环Fq[t],给出了多项式环Fq[t]上一类指数函数和的r次幂的积分估计,并利用所得结果界定了一类Fq[t]上齐次方程的解数,推广了相关文献的结论.For the polynomial ring Fq[t] over the finite field of Fqwhose characteristic is p,an estimate for the r power of integral of a kind of exponential sum on Fq[t] is obtained. The result is applied to estimate the number of solutions of a kind of homogeneous equations on Fq[t]. And some results of related literatures are extended.

关 键 词：多项式环 函数域 指数和 齐次方程 

分 类 号：O156.4[理学—数学]