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math.NT2026
On the Vanishing and Cuspidality of Modular Forms
Finn McGlade
We develop vanishing and cuspidality criteria for quaternionic modular forms on using a theory of scalar Fourier coefficients. By analyzing a Fourier-Jacobi…
math.NT2024
Fourier Coefficients and Algebraic Cusp Forms on
Anton Hilado, Finn McGlade, Pan Yan
We establish a theory of scalar Fourier coefficients for a class of non-holomorphic, automorphic forms on the quaternionic real Lie group . By studying the theta l…
math.NT2024
The quaternionic Maass Spezialschar on split
Jennifer Johnson-Leung, Finn McGlade, Isabella Negrini +2
The classical Maass Spezialschar is a Hecke-stable subspace of the space of holomorphic Siegel modular forms of genus two and level one cut out by certain linear relations among Fo…