1 citations · 2 across the 10 of their papers we have counts for
10 papers
Moment of double exponential sums
Nilanjan Bag, Dwaipayan Mazumder
This paper is devoted to finding moments of double exponential sums with monomials over arbitrary sets and intervals in finite fields. The study of such sums dates back to the work…
Distribution of differences of characters evaluated at consecutive polynomial values
Nilanjan Bag, Dwaipayan Mazumder
In this paper, we study the distribution of difference of multiplicative and additive characters modulo at consecutive polynomial values. More precisely, for an interval ov…
Weighted exponential sums and its applications
Nilanjan Bag, Dwaipayan Mazumder
Let be a real polynomial with irrational leading co-efficient. In this article, we derive distribution of modulo one for all with at least three divisors and also we…
Moment of Kummer sums weighted by -functions
Nilanjan Bag
The main purpose of this article is to study higher order moments of Kummer sums weighted by -functions using estimates for character sums and analytic methods. The results of t…
Multiple exponential sums and their applications to quadratic congruences
Nilanjan Bag, Stephan Baier, Anup Haldar
In this paper, we develop a method of evaluating general exponential sums with rational amplitude functions for multiple variables which complements works by T. Cochrane and Z. Zhe…
Fourth power mean of the general -dimensional Kloosterman sum mod
Nilanjan Bag, Anup Haldar
In this article, we prove an asymptotic formula for the fourth power mean of a general -dimensional hyper-Kloosterman sum. We find the number of solutions of certain congruence…
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(…