The main purpose of this article is to study higher order moments of Kummer sums weighted by L-functions using estimates for character sums and analytic methods. The results of this …
W Liu, S Ning - Open Mathematics, 2024 - degruyter.com
The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing …
X Wang, L Wang, G Chen - AIMS Mathematics, 2024 - aimspress.com
The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters Page 1 https://www.aimspress.com/journal/Math AIMS Mathematics, 9(7) …
D Cui, W Zhang - Open Mathematics, 2024 - degruyter.com
The main purpose of this article is to study the problem of calculating the 2 m th power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting …
P Xi - arXiv preprint arXiv:2105.15051, 2021 - arxiv.org
We consider a family of character sums as multiplicative analogues of Kloosterman sums. Using Gauss sums, Jacobi sums and Deligne's bound for hyper-Kloosterman sums, we …