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Orthogonal Period of a GL 3(ℤ) Eisenstein Series

In: Representation Theory, Complex Analysis, and Integral Geometry

Author

Listed:
  • Gautam Chinta

    (The City College of CUNY, Department of Mathematics)

  • Omer Offen

    (Technion - Israel Institute of Technology, Mathematics Department)

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.

Suggested Citation

  • Gautam Chinta & Omer Offen, 2012. "Orthogonal Period of a GL 3(ℤ) Eisenstein Series," Springer Books, in: Bernhard Krötz & Omer Offen & Eitan Sayag (ed.), Representation Theory, Complex Analysis, and Integral Geometry, pages 41-59, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4817-6_3
    DOI: 10.1007/978-0-8176-4817-6_3
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