M. Gu

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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…

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