Date: 07 Nov 2011

Orthogonal Period of a GL 3() Eisenstein Series

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Abstract

We provide an explicit formula for the period integral of the unramified Eisenstein series on \(G{L}_{3}({\mathbb{A}}_{\mathbb{Q}})\) over the orthogonal subgroup associated with the identity matrix. The formula expresses the period integral as a finite sum of products of double Dirichlet series that are Fourier coefficients of Eisenstein series on the metaplectic double cover of GL 3.

Mathematics Subject Classification (2010):11F30, 11F37,11M36