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The Fourier expansion of modular forms on quaternionic exceptional groups

The Fourier expansion of modular forms on quaternionic exceptional groups

Suppose that G is a simple adjoint reductive group over Q, with an exceptional Dynkin type and with G(R) quaternionic (in the sense of Gross and Wallach). Then there is a notion of modular forms for G, anchored on the so-called quaternionic discrete series representations of G(R). The purpose of …