Aprameyo Pal

collaborators

4 papers

math.NT2026

A $p$ -Converse theorem for Real Quadratic Fields

Muskan Bansal, Somnath Jha, Aprameyo Pal +1

Let $E$ be an elliptic curve defined over a real quadratic field $F$ . Let $p > 5$ be a rational prime that is inert in $F$ and assume that $E$ has split multiplicative reduction at…

math.NT2026

Perfectoid Spaces in Multivariate $p$ -adic Hodge Theory

Aprameyo Pal, Rohit Pokhrel

Perfectoid spaces have become a crucial tool in $p$ -adic geometry, serving as a bridge between adic spaces in characteristic $0$ and those in characteristic $p$ . In this article, w…

math.NT2026

The size of $2$ -Selmer groups for the $\frac{I ¨}{} 3$ -congruent number problem

Kushal Bhowmick, Aprameyo Pal

Our main objective in this paper is to study the average rank of the $2$ -Selmer group of the elliptic curve associated with the $\frac{I ¨}{} 3$ -congruent number problem. Following Hea…

math.NT2025

(Algebraic) $p$ -adic Artin formalism of twisted triple product Galois representations over real quadratic fields

Bhargab Das, Aprameyo Pal

In this article, we investigate factorization problems for twisted triple product Galois representations over real quadratic fields, arising from families of Hilbert cusp forms. Sp…

A p-Converse theorem for Real Quadratic Fields

Perfectoid Spaces in Multivariate p-adic Hodge Theory

The size of 2-Selmer groups for the I¨​3-congruent number problem

(Algebraic) p-adic Artin formalism of twisted triple product Galois representations over real quadratic fields

A $p$ -Converse theorem for Real Quadratic Fields

Perfectoid Spaces in Multivariate $p$ -adic Hodge Theory

The size of $2$ -Selmer groups for the $\frac{I ¨}{} 3$ -congruent number problem

(Algebraic) $p$ -adic Artin formalism of twisted triple product Galois representations over real quadratic fields