Dipramit Majumdar

activity

20132026

most citedCyclic Cubic Extensions of Q

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

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math.NT2022

Cube sum problem for integers having exactly two distinct prime factors

Dipramit Majumdar, Pratiksha Shingavekar

Given an integer n>1, it is a classical Diophantine problem that whether n can be written as a sum of two rational cubes. The study of this problem, considering several special cas…

math.NT2022

$3$ -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 $φ$ . We give an upper and a lower bound on the rank of the $φ$ -Selmer…

math.NT2022

On characteristic ideal of Selmer group associated to Artin representations

Dipramit Majumdar, Subhasis Panda

Selmer group for an Artin representation over totally real fields was studied by Greenberg and Vatsal. In this paper we study the Selmer groups for an Artin representation over a t…

Cube sum problem for integers having exactly two distinct prime factors

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

On characteristic ideal of Selmer group associated to Artin representations

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