The generalized Kloosterman sums and their fourth power mean
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.
generalized Kloosterman sumsthe fourth power meananalytic methodsimplified form
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