Orthogonal Period of a GL 3(ℤ) Eisenstein Series

Gautam Chinta () and Omer Offen ()
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Gautam Chinta: The City College of CUNY, Department of Mathematics
Omer Offen: Technion - Israel Institute of Technology, Mathematics Department

A chapter in Representation Theory, Complex Analysis, and Integral Geometry, 2012, pp 41-59 from Springer

Abstract: 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.

Keywords: Eisenstein series; Metaplectic group; Multiple Dirichlet series (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4817-6_3

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DOI: 10.1007/978-0-8176-4817-6_3

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