Nilanjan Bag

collaborators

3 papers

math.NT2024

Weighted exponential sums and its applications

Nilanjan Bag, Dwaipayan Mazumder

Let $f$ be a real polynomial with irrational leading co-efficient. In this article, we derive distribution of $f (n)$ modulo one for all $n$ with at least three divisors and also we…

math.NT2024

Moment of Kummer sums weighted by $L$ -functions

Nilanjan Bag

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 t…

math.NT2023

Fourth power mean of the general $s$ -dimensional Kloosterman sum mod $p$

Nilanjan Bag, Anup Haldar

In this article, we prove an asymptotic formula for the fourth power mean of a general $s$ -dimensional hyper-Kloosterman sum. We find the number of solutions of certain congruence…

Weighted exponential sums and its applications

Moment of Kummer sums weighted by L-functions

Fourth power mean of the general s-dimensional Kloosterman sum mod p

Moment of Kummer sums weighted by $L$ -functions

Fourth power mean of the general $s$ -dimensional Kloosterman sum mod $p$