Aaron Pollack

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20142023

most citedThe Fourier expansion of modular forms on quaternionic exceptional groups

12 citations · 41 across the 17 of their papers we have counts for

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Showing 2022 · math.NTShow all

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math.NT2022

Exceptional theta functions and arithmeticity of modular forms on $G_{2}$

Aaron Pollack

Quaternionic modular forms on the split exceptional group $G_{2} = G_{2}^{s}$ 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…

Exceptional theta functions and arithmeticity of modular forms on G2​

Modular forms of half-integral weight on exceptional groups

Exceptional theta functions and arithmeticity of modular forms on $G_{2}$