Subham Bhakta

activity

20182026

most citedLifting of vector-valued automorphic forms

1 citations · 2 across the 15 of their papers we have counts for

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Showing 2025Show all

4 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…