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On Fourier coefficients of automorphic forms of symplectic groups

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Abstract.

 In this paper we study certain properties of Fourier coefficients of cuspidal representations on symplectic groups. We prove that every cuspidal representation has a nontrivial Fourier coefficient with respect to a certain type of unipotent class.

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Authors and Affiliations

  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, 69978 Israel. e-mail: soudry@math.tau.ac.il, , , , , , IL

    D. Ginzburg & D. Soudry

  2. Department of Mathematics, The Ohio State University, Columbus, OH 43210, U.S.A, , , , , , US

    S. Rallis

Authors
  1. D. Ginzburg
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  2. S. Rallis
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  3. D. Soudry
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Received: 17 October 2002 / Revised version: 8 December 2002 Published online: 24 April 2003

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Ginzburg, D., Rallis, S. & Soudry, D. On Fourier coefficients of automorphic forms of symplectic groups. manuscripta math. 111, 1–16 (2003). https://doi.org/10.1007/s00229-003-0355-7

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  • DOI: https://doi.org/10.1007/s00229-003-0355-7

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