Armando Guti'errez Terradillos

activity

20222026

most citedA truncated Siegel-Weil formula and Borcherds forms

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

Relative Langlands duality of the Bump-Friedberg-Ginzburg $GSO_{6}$ -integral

Antonio Cauchi, Eric Yen-Yo Chen, Armando Gutierrez Terradillos

We provide a new instance of singular relative Langlands duality, underlying a Rankin-Selberg integral on $GSO_{6}$ due to Bump-Friedberg-Ginzburg. We conclude that this int…

math.NT2026

On Periods and $L$ -functions for $GL_{4} \times GL_{2}$

Antonio Cauchi, Armando Gutierrez Terradillos

We give a new integral representation of the $\land^{2} \otimes std_{2}$ $L$ -function of generic cusp forms on $GL_{4} \times GL_{2}$ and $\mathbf{GU}_{2,2}\tim…

math.NT2025

The $ρ$ -Fourier transform

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +4

Let $G$ be a reductive group over a local field $F$ and let $ρ :^{L} G \to GL_{V_{ρ}} (C)$ be a representation of its $L$ -group satisfying suitable assumptions. Braver…

math.NT2025

Modulation groups

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +6

Conjectures of Braverman and Kazhdan, Ngô and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumptio…

math.NT2024

A two variable Rankin-Selberg integral for $GU (2, 2)$ and the degree 5 $L$ -function of $GSp_{4}$

Antonio Cauchi, Armando Gutierrez Terradillos

We give a two-variable Rankin--Selberg integral for generic cusp forms on $PGL_{4}$ and $PGU_{2, 2}$ which represents a product of exterior square $L$ -functions. As…

math.NT2023

Spherical Shalika models on $PGU_{2, 2}$ and the theta correspondence for $(PGSp_{4}, PGU_{2, 2})$

Antonio Cauchi, Armando Gutierrez Terradillos

We study Shalika models for generic unramified representations of $PGU_{2, 2}$ over non-archimedean local fields of characteristic zero. We show that they are unique up to…

Relative Langlands duality of the Bump-Friedberg-Ginzburg GSO6​-integral

On Periods and L-functions for GL4​×GL2​

The ρ-Fourier transform

Modulation groups

A two variable Rankin-Selberg integral for GU(2,2) and the degree 5 L-function of GSp4​

Spherical Shalika models on PGU2,2​ and the theta correspondence for (PGSp4​,PGU2,2​)

Relative Langlands duality of the Bump-Friedberg-Ginzburg $GSO_{6}$ -integral

On Periods and $L$ -functions for $GL_{4} \times GL_{2}$

The $ρ$ -Fourier transform

A two variable Rankin-Selberg integral for $GU (2, 2)$ and the degree 5 $L$ -function of $GSp_{4}$

Spherical Shalika models on $PGU_{2, 2}$ and the theta correspondence for $(PGSp_{4}, PGU_{2, 2})$