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An Exceptional Arithmetic Group and its Eisenstein Series

1970
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Annals of Mathematics
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Introduction. Let GR be the simply-connected, real, Lie group of type Ei which is isogenous to the full group of holomorphic automorphisms of a bounded symmetric domain in C 27 . It is the purpose of this note to announce results on a certain arithmetic subgroup V of GR and its automorphic forms; in particular, we have proved that the automorphic forms for T given by Eisenstein series have Fourier coefficients which are rational numbers with a certain Euler product expansion. Because the proofs

doi:10.2307/1970636
fatcat:75blzvvnabbrxc3s5ccx47zgn4