M. Gu

collaborators

3 papers

math.RT2026

Kloosterman sheaves and Bessel functions for generic principal series of finite groups

Robert Cass, Miao Pam Gu, Elad Zelingher

Let $G$ be a quasi-split reductive group over a finite field and let $G^$ be the Langlands dual group. Assuming the derived subgroup of $G$ is almost simple, we use techniques from…

math.NT2026

Plancherel and Poisson summation formulae for a family of affine $Ψ$ -bundles

Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu

We prove a Plancherel formula for a family of affine $Ψ$ -bundles. As an application, we construct Fourier transforms and asymptotic Schwartz spaces for the family. We then prove th…

math.NT2025

On triple product $L$ -functions and the fiber bundle method

Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu +1

We introduce multi-variable zeta integrals which unfold to Euler products representing the triple product $L$ -function times a product of $L$ -functions with known analytic properti…

Kloosterman sheaves and Bessel functions for generic principal series of finite groups

Plancherel and Poisson summation formulae for a family of affine Ψ-bundles

On triple product L-functions and the fiber bundle method

Plancherel and Poisson summation formulae for a family of affine $Ψ$ -bundles

On triple product $L$ -functions and the fiber bundle method