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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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