Pratiksha Shingavekar

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20222025

most citedAn analogue of Kida's formula for elliptic curves with additive reduction

1 citations · 1 across the 8 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…

Cube sum problem for integers having exactly two distinct prime factors

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

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