On some conjectures on generalized quadratic Gauss sums and related problems

N Bag, A Rojas-León, Z Wenpeng - Finite Fields and Their Applications, 2023 - Elsevier
The main purpose of this article is to study higher power mean values of generalized
quadratic Gauss sums using estimates for character sums, analytic methods and algebraic …

Moments of Kummer sums weighted by L-functions

N Bag - The Ramanujan Journal, 2024 - Springer
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 …

On the generalized exponential sums and their fourth power mean

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 …

[PDF][PDF] The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters

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) …

Generalized quadratic Gauss sums and their 2mth power mean

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 …

Moments and equidistributions of multiplicative analogues of Kloosterman sums

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 …