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On the mean value of L-functions with the weight of character sums
Abstract The main purpose of this paper is using the estimate for character sums and the analytic method to study the mean value of the Dirichlet L -functions with the weight of character sums, andExpand
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On the fourth power mean of the general Kloosterman sums
Abstract The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of the fourth power mean of the general Kloosterman sums forExpand
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A Note on the Mean Square Value of the Dedekind Sums
The main purpose of this paper is using the mean value theorem of the Dirichlet L-function to study the distribution properties of Dedekind sums, and give two sharper mean square value formulae.
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A Sum Analogous to the Dedekind Sum and its Mean Value Formula
Abstract The main purpose of this paper is using the mean value theorem of the Dirichlet L-functions to study the distribution property of a sums analogous to the Dedekind sums, and give anExpand
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ON THE 2k-TH POWER MEAN VALUE OF THE GENERALIZED QUADRATIC GAUSS SUMS
Abstract. The main purpose of this paper is using the elementary andanalytic methods to study the properties of the 2 k -th power mean valueof the generalized quadratic Gauss sums, and give two exactExpand
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A hybrid mean value related to the Dedekind sums and Kloosterman sums
The main purpose of this paper is to use the properties of character sum and the analytic method to study a hybrid mean value problem related to the Dedekind sums and Kloosterman sums, and give someExpand
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A note on the Cochrane sum and its hybrid mean value formula
In this paper, we use the properties of Gauss sums, primitive characters and the mean value theorems of Dirichlet L-functions to study the hybrid mean value of Cochrane sums and general KloostermanExpand
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Numerical calculation of axial-flow pump’s pressure fluctuation and model test analysis
To study the significance of internal pressure pulsation characteristics between prototype and model pump devices, monitoring of computational fluid dynamics and dynamic measurement of a model wereExpand
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A New Sequence and its some Congruence Properties
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