Aprameyo Pal

activity

20172026

collaborators

10 papers

math.NT2026

Refined conjectures on Fitting ideals of BDP Selmer groups

Chan-Ho Kim, Aprameyo Pal, Jishnu Ray

Under mild assumptions, we prove the strong main conjecture for BDP Selmer groups of elliptic curves with good reduction in the sense of Kurihara's refined Iwasawa theory. In parti…

math.NT2026

The size of $2$ -Selmer groups for the $\frac{π}{3}$ -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 $\frac{π}{3}$ -congruent number problem. Following Heat…

math.NT2025

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.NT2025

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.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…

math.NT2024

On the Artin formalism for triple product $p$ -adic $L$ -functions: Chow--Heegner points vs. Heegner points

Kâzım Büyükboduk, Daniele Casazza, Aprameyo Pal +1

Our main objective in this paper (which is expository for the most part) is to study the necessary steps to prove a factorization formula for a certain triple product $p$ -adic $L$ -…

math.NT2022

Sufficient conditions for a problem of Polya

Abhishek Bharadwaj, Veekesh Kumar, Aprameyo Pal +1

Let $α$ be a non-zero algebraic number. Let $K$ be the Galois closure of $Q (α)$ with Galois group $G$ and $Q ˉ$ be the algebraic closure of $Q$ . In t…

math.NT2020

Automorphic $SL_{2}$ -periods and the subconvexity problem for $GL_{2} \times GL_{3}$

Aprameyo Pal, Carlos de Vera-Piquero

We prove a new (conditional) result towards the subconvexity problem for certain automorphic $L$ -functions for $GL_{2} \times GL_{3}$ . This follows from the computati…

math.NT2018

Pullbacks of Saito--Kurokawa lifts and a central value formula

Aprameyo Pal, Carlos de Vera-Piquero

We prove an explicit central value formula for a family of complex $L$ -series of degree $6$ for $GL_{2} \times GL_{3}$ which arise as factors of certain Garret--Ranki…

math.NT2017

Cohomology and overconvergence for representations of powers of Galois groups

Aprameyo Pal, Gergely Zábrádi

We show that the Galois cohomology groups of $p$ -adic representations of a direct power of $Gal (Q_{p} / Q_{p})$ can be computed via the genera…

Refined conjectures on Fitting ideals of BDP Selmer groups

The size of 2-Selmer groups for the 3π​-congruent number problem

Perfectoid Spaces in Multivariate p-adic Hodge Theory

A p-Converse theorem for Real Quadratic Fields

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

On the Artin formalism for triple product p-adic L-functions: Chow--Heegner points vs. Heegner points

Sufficient conditions for a problem of Polya

Automorphic SL2​-periods and the subconvexity problem for GL2​×GL3​

Pullbacks of Saito--Kurokawa lifts and a central value formula

Cohomology and overconvergence for representations of powers of Galois groups

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

Perfectoid Spaces in Multivariate $p$ -adic Hodge Theory

A $p$ -Converse theorem for Real Quadratic Fields

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

On the Artin formalism for triple product $p$ -adic $L$ -functions: Chow--Heegner points vs. Heegner points

Automorphic $SL_{2}$ -periods and the subconvexity problem for $GL_{2} \times GL_{3}$