Dipramit Majumdar

activity

20132026

most citedCyclic Cubic Extensions of Q

3 citations · 5 across the 16 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

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}…

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…

Relative p-class groups and p-Selmer groups

Hilbert's 10th Problem via Mordell curves

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