Results 11 to 20 of about 1,263,282 (314)

The hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo p

AIMS Mathematics, 2021
We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some ...
Wenpeng Zhang , Jiafan Zhang
doaj   +4 more sources

The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums

Mathematics
In this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
doaj   +4 more sources

The hybrid power mean of the quartic Gauss sums and the two-term exponential sums [PDF]

Advances in Difference Equations, 2018
In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear ...
Xiaoxue Li
doaj   +4 more sources

The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums

AIMS Mathematics
This article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums.
Xue Han, Tingting Wang
doaj   +4 more sources

The Power of the Hybrid Model for Mean Estimation [PDF]

Proceedings on Privacy Enhancing Technologies, 2020
Abstract We explore the power of the hybrid model of differential privacy (DP), in which some users desire the guarantees of the local model of DP and others are content with receiving the trusted-curator model guarantees. In particular, we study the utility of hybrid model estimators that compute the mean of arbitrary realvalued ...
Brendan Avent, Yatharth Dubey, Aleksandra Korolova   +2 more
semanticscholar   +6 more sources

One kind power mean of the hybrid Gauss sums [PDF]

Open Mathematics, 2018
In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it.
Lan Qi, Wenpeng Zhang
doaj   +3 more sources

A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums [PDF]

Journal of Mathematics, 2021
The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for it.
Jiayuan Hu, Yu Zhan, Qin Si
doaj   +3 more sources

On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums

Open Mathematics, 2018
The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
doaj   +3 more sources

The hybrid power mean involving the Kloosterman sums and Dedekind sums [PDF]

Open Mathematics
Kloosterman sums and Dedekind sums are two important sums in analytic number theory, the study of their various properties is a very interesting subject.
Li Ruiyang, Chen Long
doaj   +3 more sources

On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums [PDF]

Journal of Mathematics, 2021
The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting ...
Jingzhe Wang
doaj   +3 more sources