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math.NT2021
On a generalization of Jacobi sums
Antonio Rojas-León
We prove an estimate for multi-variable multiplicative character sums over affine subspaces of , which generalize the well known estimates for both classical Jacobi…
math.NT2021
On some conjectures on Generalized quadratic Gauss sums and related problems
Nilanjan Bag, Antonio Rojas-León, Zhang Wenpeng
The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic method and algebraic geometri…
math.NT2021★ 1 cited
An explicit evaluation of $\nth{10}$-power moment of quadratic Gauss sums and some applications
Nilanjan Bag, Antonio Rojas-León, Zhang Wenpeng
In this paper we have estimated one multi-variable character sum \begin{align*} \sum_{a=2}^{p-2}\sum_{b=1}^{p-1}\sum_{c=2}^{p-2}\sum_{d=1}^{p-1}\left(\frac{a^2-b^2}{p}\right)\left(…