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arXiv · 1809.04692

The Fourier Coefficients of a Metaplectic Eisenstein Distribution on the Double Cover of SL$(3)$ over $\mathbb{Q}$

Edmund Karasiewicz
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Abstract

We compute the Fourier coefficients of a minimal parabolic Eisenstein distribution on the double cover of 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 in `Weyl group multiple Dirichlet series. III. Eisenstein series and twisted unstable $A_r$'.

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Edmund Karasiewicz. 2018-09-12. The Fourier Coefficients of a Metaplectic Eisenstein Distribution on the Double Cover of SL$(3)$ over $\mathbb{Q}$. https://arxiv.org/abs/1809.04692

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