D. Mazumder

activity

20202026

collaborators

6 papers

math.NT2026

Diophantine approximation with primes in an arithmetic progression

D. Mazumder, J. Sivaraman

Let $α \in R ∖ Q$ , $β \in R$ , $N \in R_{\geq 1}$ and $Δ \in (0, 1/2)$ . For any real $y$ , let $∥ y ∥$ denote the distance from $y$ to the nearest in…

math.NT2025

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…

math.NT2025

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 $p$ at consecutive polynomial values. More precisely, for an interval $I$ ov…

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.NT2021

On the distribution of $α p$ modulo one in quadratic number fields

Stephan Baier, Dwaipayan Mazumder, Marc Technau

We investigate the distribution of $α p$ modulo one in quadratic number fields $K$ with class number one, where $p$ is restricted to prime elements in the ring of integers…

math.NT2020

Diophantine Approximation with Prime Restriction in Real Quadratic Number Fields

Stephan Baier, Dwaipayan Mazumder

The distribution of $α p$ modulo one, where $p$ runs over the rational primes and $α$ is a fixed irrational real, has received a lot of attention. It is natural to ask for which exp…

Diophantine approximation with primes in an arithmetic progression

Moment of double exponential sums

Distribution of differences of characters evaluated at consecutive polynomial values

Weighted exponential sums and its applications

On the distribution of αp modulo one in quadratic number fields

Diophantine Approximation with Prime Restriction in Real Quadratic Number Fields

On the distribution of $α p$ modulo one in quadratic number fields