3 papers
math.NT2026
Automatic convergence for holomorphic modular forms
Aaron Pollack
We prove an automatic convergence theorem for holomorphic modular forms on tube domains. The argument works in some generality, and covers in particular the case of orthogonal grou…
math.NT2024
Automatic convergence for Siegel modular forms
Aaron Pollack
Bruinier and Raum, building on work of Ibukiyama-Poor-Yuen, have studied a notion of ``formal Siegel modular forms". These objects are formal sums that have the symmetry properties…
math.NT2024
Automatic convergence and arithmeticity of modular forms on exceptional groups
Aaron Pollack
We prove that the space of cuspidal quaternionic modular forms on the groups of type and have a purely algebraic characterization. This characterization involves Fourie…