The Fourier coefficients of a metaplectic Eisenstein distribution on the double cover of SL(3) over \(\mathbb{Q} \) (Q784282)

The author computes the Fourier coefficients of a minimal parabolic Eisenstein distribution on the double cover of \(\mathrm{SL}(3)\) over \(\mathbb Q\). Two key aspects of the paper are an explicit formula for the constant term, and formulas for the Fourier coefficients at the ramified place \(p =2\). Additionally, the unramified non-degenerate Fourier coefficients of this Eisenstein distribution fit into the combinatorial description provided by Brubaker-Bump-Friedberg-Hoffstein. This paper is a nice step towards closing the gap between understanding of Eisenstein series on \(n\)-fold covers over number fields containing the \(2n\)-th roots of unity and those over number fields containing only the \(n\)-th roots of unity.