Debanjana Kundu

collaborators

2 papers

math.NT2022

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Jeffrey Hatley, Debanjana Kundu, Antonio Lei +1

Let $O$ be the ring of integers of a finite extension of $Q_{p}$ . We prove two control theorems for fine Selmer groups of general cofinitely generated modules over…

math.NT2018

Perfect Powers that are Sums of Squares of an Arithmetic Progression

Debanjana Kundu, Vandita Patel

In this paper, we determine all primitive solutions to the equation $(x + r)^{2} + (x + 2 r)^{2} + \dots + (x + d r)^{2} = y^{n}$ for $2 \leq d \leq 10$ and for $1 \leq r \leq 1 0^{4}$ . We make use of a fa…