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Representation Theory, Complex Analysis, and Integral Geometry

pp 41-59

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Orthogonal Period of a GL 3() Eisenstein Series

  • Gautam ChintaAffiliated withDepartment of Mathematics, The City College of CUNY Email author 
  • , Omer OffenAffiliated withMathematics Department, Technion - Israel Institute of Technology

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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.

Keywords

Eisenstein series Metaplectic group Multiple Dirichlet series