Kalyan Chakraborty

collaborators

5 papers

math.NT2026

Branched covers of $P^{1}$ and divisibility in class group

Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque

We start with $n$ -torsions in the Jacobian of an $m$ -gonal curve and produce $n$ -torsions in the class group of certain number field $K$ .

math.NT2025

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation

Kalyan Chakraborty, Azizul Hoque

We consider the generalized Lebesgue-Ramanujan-Nagell equation $x^{2} + 1 7^{k} 4 1^{ℓ} 5 9^{m} = 2^{I^} ´ y^{n}$ in the unknown integers $x \geq 1, y > 1, n \geq 3$ and $k, ℓ, m \geq 0$ satisfying $\gcd…

math.NT2025

Diophantine tuples and Integral Ideals of $Q (d)$

Kalyan Chakraborty, Shubham Gupta, Krishnarjun Krishnamoorthy

Suppose $n$ is the fundamental discriminant associated with a quadratic extension of $Q$ . We show that for every Diophantine $m$ -tuple ${t_{1}, t_{2}, \dots, t_{m}}$ with t…

math.NT2025

Elliptic surfaces to class groups and Selmer groups

Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque

In this note, we connect the $n$ -torsions of the Picard group of an elliptic surface to the $n$ -divisibility of the class group of torsion fields for a given integer $n > 1$ . We also…

math.NT2025

Fields with small class group in the family $Q (9 m^{2} + 2 m)$

Kalyan Chakraborty, Azizul Hoque

Very recently, Issa and Darrag [Arch. Math. (Basel) 123 (2024), no. 4, 379-383] determined partial Dedekind zeta values for certain ideal classes in the real quadratic fields of th…

Branched covers of P1 and divisibility in class group

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation

Diophantine tuples and Integral Ideals of Q(d​)

Elliptic surfaces to class groups and Selmer groups

Fields with small class group in the family Q(9m2+2m​)

Branched covers of $P^{1}$ and divisibility in class group

Diophantine tuples and Integral Ideals of $Q (d)$

Fields with small class group in the family $Q (9 m^{2} + 2 m)$