Subham Bhakta

activity

20242026

collaborators

8 papers

math.NT2026

Perfect powers in the product of denominators of elliptic curves

Subham Bhakta

We use sieving arguments to estimate the frequency of $s$ -tuples of rational points $(P_{1}, \dots, P_{s}) \in E_{1} (Q) \times \dots \times E_{s} (Q),$ where $E_{1}, \dots, E_{s}$ …

math.NT2025

Multiplicative dependence in the denominators of points of elliptic curves

Attila BÃ©rczes, 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

Modular degree and a conjecture of Watkins

Subham Bhakta, Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Given an elliptic curve $E / Q$ of conductor $N$ , there exists a surjective morphism $I ¨ _{E} : X_{0} (N) \to E$ defined over $Q$ . In this article, we discuss the growth o…

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.NT2025

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…

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…