3 papers
math.NT2026
Plancherel and Poisson summation formulae for a family of affine -bundles
Jayce R. Getz, Miao, Miao Pam Gu +2
We prove a Plancherel formula for a family of affine -bundles. As an application, we construct Fourier transforms and asymptotic Schwartz spaces for the family. We then prove th…
math.NT2025
On triple product -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 -function times a product of -functions with known analytic properti…
math.NT2024
Automorphic-twisted summation formulae for pairs of quadratic spaces
Miao Pam Gu
We prove a summation formula for pairs of quadratic spaces following the conjectures of Braverman-Kazhdan, Lafforgue, Ngô and Sakellaridis. We also give an expression of the local…