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
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Chinta, G., Offen, O. (2012). Orthogonal Period of a GL 3(ℤ) Eisenstein Series. In: Krötz, B., Offen, O., Sayag, E. (eds) Representation Theory, Complex Analysis, and Integral Geometry. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4817-6_3
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DOI: https://doi.org/10.1007/978-0-8176-4817-6_3
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