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math.NT2022
Exceptional theta functions and arithmeticity of modular forms on
Aaron Pollack
Quaternionic modular forms on the split exceptional group were defined by Gan-Gross-Savin. A remarkable property of these automorphic functions is that they have a ro…
math.NT2022
Modular forms of half-integral weight on exceptional groups
Spencer Leslie, Aaron Pollack
We define a notion of modular forms of half-integral weight on the quaternionic exceptional groups. We prove that they have a well-behaved notion of Fourier coefficients, which are…