Somnath Jha

activity

20152026

most citedControl theorem and functional equation of Selmer groups over

p

-adic Lie extensions

3 citations · 7 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

Iwasawa theory for Rankin-Selberg convolution at an Eisenstein prime

Somnath Jha, Sudhanshu Shekhar, Ravitheja Vangala

Let $p$ be an odd prime, $f$ be a $p$ -ordinary newform of weight $k$ and $h$ be a normalized cuspidal $p$ -ordinary Hecke eigenform of weight $l < k$ . In this article, we…

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

Iwasawa theory of fine Selmer groups over global fields

Sohan Ghosh, Somnath Jha, Sudhanshu Shekhar

The $p^{\infty}$ -fine Selmer group of an elliptic curve $E$ over a number field $F$ is a subgroup of the classical $p^{\infty}$ -Selmer group of $E$ over $F$ . Fine Selmer group is close…

Iwasawa theory for Rankin-Selberg convolution at an Eisenstein prime

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

Iwasawa theory of fine Selmer groups over global fields

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