Anwesh Ray

collaborators

3 papers

math.NT2023

Upper bounds for the number of number fields with prescribed Galois group

Hrishabh Mishra, Anwesh Ray

Let $n$ be a positive integer and $G$ be a transitive permutation subgroup of $S_{n}$ . Given a number field $K$ with $[K : Q] = n$ , we let $K$ be its Galois closure…

math.NT2022

On the corank of the fine Selmer group of an elliptic curve over a $Z_{p}$ -extension

Anwesh Ray

Let $p$ be an odd prime and $F_{\infty}$ be a $Z_{p}$ -extension of a number field $F$ . Given an elliptic curve $E$ over $F$ , we study the structure of the fine Selmer group ov…

math.NT2022

Diophantine equations of the form $Y^{n} = f (X)$ over function fields

Anwesh Ray

Let $ℓ$ and $p$ be (not necessarily distinct) prime numbers and $F$ be a global function field of characteristic $ℓ$ with field of constants $κ$ . Assume that there exists a p…

Upper bounds for the number of number fields with prescribed Galois group

On the corank of the fine Selmer group of an elliptic curve over a Zp​-extension

Diophantine equations of the form Yn=f(X) over function fields

On the corank of the fine Selmer group of an elliptic curve over a $Z_{p}$ -extension

Diophantine equations of the form $Y^{n} = f (X)$ over function fields