Subham Bhakta

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20182026

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10 papers · 1 filter

math.NT2025

Multiplicative dependence in the denominators of points of elliptic curves

Attila Bérczes, Subham Bhakta, Lajos Hajdu +2

Let $E_{1}, \dots, E_{s}$ be $s$ , not necessary distinct, elliptic curves over $Q$ . We give upper bounds on the frequency of $s$ -tuples of points in $E_1(\mathbb{Q})\times \…

math.NT2025

Character sums of Division polynomials twisted by multiplicative functions

Subham Bhakta

Let $E$ be an elliptic curve over the finite field $F_{p}$ , and $P \in E (F_{p})$ be an $F_{p}$ -rational point. We obtain nontrivial estimates for multiplicativ…

math.NT2025

On the correlations between character sums of division polynomials under shifts

Subham Bhakta, Igor E. Shparlinski

Let $E$ be an elliptic curve over the finite field $F_{p}$ , and $P \in E (F_{p})$ be an $F_{p}$ -rational point. We study the sums \[ S_{χ,P}(N,h) = \sum_{n=1}^N…

math.NT2025

On quantum ergodicity for higher dimensional cat maps modulo prime powers

Subham Bhakta, Igor E. Shparlinski

A discrete model of quantum ergodicity of linear maps generated by symplectic matrices $A \in Sp (2 d, Z)$ modulo an integer $N \geq 1$ , has been studied for $d = 1$ and…

math.NT2024

Exponential Sums with Sparse Polynomials and Distribution of the Power Generator

Subham Bhakta, Igor Shparlinski

We obtain new bounds on complete rational exponential sums with sparse polynomials modulo a prime, under some mild conditions on the degrees of the monomials of such polynomials. T…

math.NT2024

On an indivisibility version of Iizuka's conjecture

Muneeswaran R, Srilakshmi Krishnamoorthy, Subham Bhakta

Iizuka's conjecture predicts that, given $m \in N$ and a prime $p$ , there exists infinitely many integers $n$ such that the class numbers of \textit{all} of the following…