Carlos de Vera-Piquero

activity

20162024

collaborators

5 papers

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.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.NT2019

p-adic families of d-th Shintani liftings

Daniele Casazza, Carlos de Vera-Piquero

In this note we give a detailed construction of a $Λ$ -adic $d$ -th Shintani lifting. We derive a $Λ$ -adic version of Kohnen's formula relating Fourier coefficients of hal…

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.NT2016

Heegner points on Hijikata-Pizer-Shemanske curves

Matteo Longo, Victor Rotger, Carlos de Vera-Piquero

We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from uniformization by Shimura curves attached to a rather general type of quaternio…

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

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

p-adic families of d-th Shintani liftings

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

Heegner points on Hijikata-Pizer-Shemanske curves

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 $GL_{2} \times GL_{3}$