Antonio Cauchi

activity

20232026

collaborators

4 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.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​

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 $GL_{4} \times GL_{2}$

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 $(PGSp_{4}, PGU_{2, 2})$