1 citations · 2 across the 10 of their papers we have counts for
4 papers · 1 filter
Bounds on bilinear sums of Kloosterman sums
Nilanjan Bag, Igor E. Shparlinski
We use some elementary arguments to obtain a new bound on bilinear sums with weighted Kloosterman sums which complements those recently obtained by E. Kowalski, P. Michel and W. Sa…
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…
Higher order moments of generalized quadratic Gauss sums weighted by -functions
Nilanjan Bag, Rupam Barman
The main purpose of this paper is to study higher order moments of the generalized quadratic Gauss sums weighted by -functions using estimates for character sums and analytic me…
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(…