60 research outputs found
Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups
We study the structures of Fourier coefficients of automorphic forms on
symplectic groups based on their local and global structures related to Arthur
parameters. This is a first step towards the general conjecture on the relation
between the structure of Fourier coefficients and Arthur parameters given by
the first named author in [J14].Comment: Final version. 44 pages. Minor revisions. To appear in the Annales de
l'Institut Fourie
On a converse theorem for over finite fields
In this paper, we prove certain multiplicity one theorems and define twisted
gamma factors for irreducible generic cuspidal representations of split
over finite fields of odd characteristic. Then we prove the first converse
theorem for exceptional groups, namely, and -twisted gamma factors
will uniquely determine an irreducible generic cuspidal representation of
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