This paper examines the evaluations of sixth power mean values of a generalized two-term exponential sums. In the case $ p\equiv 3\bmod 4 $, we try to establish two precise formulas by applying the properties of character sums and the number of the solutions of relevant congruence equations modulo an odd prime $ p $
summary:The main purpose of this paper is to use the analytic method to study the calculating proble...
Doctor of PhilosophyDepartment of MathematicsChristopher PinnerExponential and character sums occur...
Doctor of PhilosophyDepartment of MathematicsChristopher PinnerExponential and character sums occur...
In this paper, based on the analytic method and the properties of Gauss sums, we study the computati...
AbstractThe main purpose of this paper is using the analytic method to study the mean value properti...
summary:Let $q \ge 3$ be a positive integer. For any integers $m$ and $n$, the two-term exponential ...
summary:Let $q \ge 3$ be a positive integer. For any integers $m$ and $n$, the two-term exponential ...
The main purpose of this article is to study the calculating problem of one kind fourth power mean o...
We prove that the density of integers ≡2 (mod 24), which can be represented as the sum of two square...
The study of the power mean of the generalized polynomial exponential sums plays a very important ro...
AbstractIn this paper we continue our study, begun in G. Harman and A.V. Kumchev (2006) [10], of the...
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to st...
Using combinatorial techniques, we derive a recurrence identity that expresses an exponential power ...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
summary:The main purpose of this paper is to use the analytic method to study the calculating proble...
summary:The main purpose of this paper is to use the analytic method to study the calculating proble...
Doctor of PhilosophyDepartment of MathematicsChristopher PinnerExponential and character sums occur...
Doctor of PhilosophyDepartment of MathematicsChristopher PinnerExponential and character sums occur...
In this paper, based on the analytic method and the properties of Gauss sums, we study the computati...
AbstractThe main purpose of this paper is using the analytic method to study the mean value properti...
summary:Let $q \ge 3$ be a positive integer. For any integers $m$ and $n$, the two-term exponential ...
summary:Let $q \ge 3$ be a positive integer. For any integers $m$ and $n$, the two-term exponential ...
The main purpose of this article is to study the calculating problem of one kind fourth power mean o...
We prove that the density of integers ≡2 (mod 24), which can be represented as the sum of two square...
The study of the power mean of the generalized polynomial exponential sums plays a very important ro...
AbstractIn this paper we continue our study, begun in G. Harman and A.V. Kumchev (2006) [10], of the...
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to st...
Using combinatorial techniques, we derive a recurrence identity that expresses an exponential power ...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
summary:The main purpose of this paper is to use the analytic method to study the calculating proble...
summary:The main purpose of this paper is to use the analytic method to study the calculating proble...
Doctor of PhilosophyDepartment of MathematicsChristopher PinnerExponential and character sums occur...
Doctor of PhilosophyDepartment of MathematicsChristopher PinnerExponential and character sums occur...
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