We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet series attached to the (dual) root system of the group under a mild assumption on the root system and the degree of the metaplectic cover. This confirms a conjecture of Brubaker-Bump-Friedberg.
Multiplicity of Eisenstein series in cohomology and applications to $GSp_4$ and $G_2$
Lacunary recurrences for Eisenstein series
On Wronskians of weight one Eisenstein series
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