Dipramit Majumdar

works on

birch and swinnerton-dyer conjecture 1 elliptic curves 1 gross-zagier formula 1 heegner points 1 mordell curves 1

From the 1 of 6 linked papers with an AI index.

activity

20242026

collaborators

6 papers

math.NT2026

Explicit mock Heegner points and BSD formula on certain Mordell curves

Sumita Gunri, Somnath Jha, Dipramit Majumdar

The paper constructs explicit mock Heegner points on certain Mordell elliptic curves, verifies the Gross‑Zagier formula for them, and proves the Birch–Swinnerton‑Dyer formula up to…

math.NT2026

Cuspidal subgroups associated with non-rational Eisenstein maximal ideals

Debargha Banerjee, Narasimha Kumar, Dipramit Majumdar

In this paper, we are interested in the generalization of Ramanujan-like Eisenstein congruences (congruences between cusp forms and Eisenstein series) for congruence subgroups of t…

math.NT2025

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 $Q (I^¶_{3}, 3 p)$ . We also show that there is an infinite set $S$ of square fre…

math.NT2025

$- 3$ -Selmer groups, ideal class groups and large $3$ -Selmer ranks

Somnath Jha, Dipramit Majumdar, Pratiksha Shingavekar

We consider the family of elliptic curves $E_{a, b} : y^{2} = x^{3} + a (x - b)^{2}$ with $a, b \in Z$ . These elliptic curves have a rational $3$ -isogeny, say $I ¨ $ . We give an upper and a…

math.NT2025

$3$ -Selmer group, ideal class groups and cube sum problem

Somnath Jha, Dipramit Majumdar, Pratiksha Shingavekar

Consider a Mordell curve $E_{a} : y^{2} = x^{3} + a$ with $a \in Z$ . These curves have a rational $3$ -isogeny, say $I ¨ $ . We give an upper and a lower bound on the rank of the $I ¨ $ -Selm…

math.NT2024

Relative $p$ -class groups and $p$ -Selmer groups

Debajyoti De, Dipramit Majumdar, Sudipa Mondal

Let $E$ be an elliptic curve with $j$ -invariant $0$ or $1728$ and let $E$ be a $k^{t h}$ twist of $E$ . We show that for any prime $p$ of good reduction of $\widetilde{E}…

Explicit mock Heegner points and BSD formula on certain Mordell curves

Cuspidal subgroups associated with non-rational Eisenstein maximal ideals

Hilbert's 10th Problem via Mordell curves

−3​-Selmer groups, ideal class groups and large 3-Selmer ranks

3-Selmer group, ideal class groups and cube sum problem

Relative p-class groups and p-Selmer groups

$- 3$ -Selmer groups, ideal class groups and large $3$ -Selmer ranks

$3$ -Selmer group, ideal class groups and cube sum problem

Relative $p$ -class groups and $p$ -Selmer groups