Sudhanshu Shekhar

collaborators

2 papers

math.NT2025

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…

math.NT2025

2-Selmer companion modular forms

Abhishek, Somnath Jha, Sudhanshu Shekhar

Let $N$ be a positive integer and $K$ be a number field. Suppose that $f_{1}, f_{2} \in S_{k} (I^_{0} (N))$ are two newforms such that their residual Galois representations at $2$ are isomorp…