Debanjana Kundu

activity

20242026

collaborators

10 papers

math.NT2026

On a conjecture of Andrews and almost alternating sign patterns

Jayashree Kalita, Debanjana Kundu, Matthias Storzer +1

In this paper, we prove a sign phenomenon first observed by Andrews for certain $q$ -series from Ramanujan's Lost Notebook. For three of the series considered by Andrews, namely $v_…

math.NT2026

Euler systems and the symmetric square of a Hida family

Debanjana Kundu, Jishnu Ray, Stefano Vigni

Let $p \geq 7$ be a prime number. We build a non-trivial Euler system for the symmetric square of a $p$ -adic Hida family of modular forms interpolating the Euler system constructed b…

math.NT2025

Structure of (Fine) Mordell--Weil Groups

Rusiru Gambheera, Debanjana Kundu

In this article we study the algebraic structure of fine Mordell--Weil groups, plus/minus Mordell--Weil groups, Selmer groups, and plus/minus Selmer groups in the cyclotomic $\math…

math.NT2025

Mazur's Growth Number Conjecture in the Rank One Case

Debanjana Kundu, Antonio Lei

Let $p \geq 5$ be a prime number. Let $E / Q$ be an elliptic curve with good ordinary reduction at $p$ . Let $K$ be an imaginary quadratic field where $p$ splits, and…

math.NT2024

Hilbert's 10th Problem via Mordell curves

Somnath Jha, Debanjana Kundu, Dipramit Majumdar

We show that for $5/6$ -th of all primes $p$ , Hilbert's 10-th Problem is unsolvable for $Q (ζ_{3}, 3 p)$ . We also show that there is an infinite set $S$ of square free…

math.NT2024

Elliptic curves of conductor $2^{m} p$ , quadratic twists, and Watkins' conjecture

Jeffrey Hatley, Debanjana Kundu

Let $E / Q$ be an elliptic curve. By the modularity theorem, it admits a surjection from a modular curve $X_{0} (N) \to E$ , and the minimal degree among such…