纺织高校基础科学学报2024，Vol.37Issue(3)：102-106,5.DOI:10.13338/j.issn.1006-8341.2024.03.012
广义Kloosterman和及它的四次均值
The generalized Kloosterman sums and their fourth power mean
摘要
Abstract
In order to study the fourth power mean of a kind of generalized Kloosterman sums for modulo p of arbitrary prime numbers.By using elementary and analytic methods,properties of Gauss sums and trigonometric sums,we introduce the computational problem of the power mean when the prime number is p≡1mod4,and give a simplified form of the character sums.Suffi-cient to estimate the mean value from the calculation results,it has important reference value for the study of generalized Kloosterman and various forms of fourth power mean from the calcula-tion methods.In addition,it provides a new idea and method for the calculation of power mean of exponential sums,which promotes the further exploration of related problems.关键词
广义Kloosterman和/四次均值/解析方法/简化形式Key words
generalized Kloosterman sums/the fourth power mean/analytic method/simplified form分类
数理科学引用本文复制引用
崔俊峰,王丽..广义Kloosterman和及它的四次均值[J].纺织高校基础科学学报,2024,37(3):102-106,5.基金项目
国家自然科学基金(12126357) （12126357）
