Explicit formulas for the fourth power mean of certain two-term exponential sums
Xiaochuan Ai1,2, Jianhua Chen2, Hua Chen3, Silan Zhang1,4
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 232-239
1School of Mathematics and Statistics, WuhanUniversity, Wuhan, 430072, Hubei, China
2School of Science, Navy University of Engineering, Wuhan, 430033, Hubei, China
3School of Science, Hubei University of Technology, Wuhan, 430068, Hubei, China
4College of Science, Huazhong Agricultural University, Wuhan 430070, Hubei, China
The aim of this paper is to obtain the explicit equations for the fourth power mean of generalized Kloosterman sums. Moreover, this paper also acquires the computational formulas for the fourth power mean of two-term exponential sums. This improves Calderon and Xu’sresults.