Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups

Abstract

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].

Final version. 44 pages. Minor revisions. To appear in the Annales de l'Institut Fourier

References in corpus (3)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\BA)$ and $\wt{Sp}_{4mn \pm 2n}(\BA)$
• A Product of Tensor Product $L$-functions of Quasi-split Classical Groups of Hermitian Type

Cited by in corpus (1)

• On Fourier coefficients of certain residual representations of symplectic groups