Armando Guti'errez Terradillos

collaborators

5 papers

math.NT2026

The $I ¨ $ -Fourier transform

Jayce R. Getz, Armando GutiÃ©rrez Terradillos, Farid Hosseinijafari +4

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

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

Modulation groups

Jayce R. Getz, Armando GutiÃ©rrez Terradillos, Farid Hosseinijafari +6

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

math.NT2025

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…

math.NT2025

A truncated Siegel-Weil formula and Borcherds forms

Armando Gutierrez Terradillos

In this paper we use the regularized Siegel-Weil formula of Gan-Qiu-Takeda to obtain an expression of the integral of the theta function over the truncated modular curve. We apply…

The I¨-Fourier transform

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

Modulation groups

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

A truncated Siegel-Weil formula and Borcherds forms

The $I ¨ $ -Fourier transform

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

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