5 papers
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…
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…
-Selmer companion modular forms
Somnath Jha, Dipramit Majumdar, Sudhanshu Shekhar
The study of -Selmer group of elliptic curve over number field in recent past has led to the discovery of some deep results in the arithmetic of elliptic curves. Given two ellip…
p-adic Asai transfer
Baskar Balasubramanyam, Dipramit Majumdar
Let be a real quadratic field. Given an automorphic representation for , let denote the plus/minus Asai transfer of to an automorphic represen…
Functional equation for the Selmer group of nearly ordinary Hida deformation of Hilbert modular forms
Somnath Jha, Dipramit Majumdar
We establish a duality result proving the `functional equation' of the characteristic ideal of the Selmer group associated to a nearly ordinary Hilbert modular form over the cyclot…