Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups

Dihua Jiang; Baiying Liu

Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups

Number Theory 2015-06-12 v3 Representation Theory

Authors: Dihua Jiang , Baiying Liu

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].

Keywords

automorphism groups symplectic geometry

Cite

@article{arxiv.1309.6239,
  title  = {Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups},
  author = {Dihua Jiang and Baiying Liu},
  journal= {arXiv preprint arXiv:1309.6239},
  year   = {2015}
}

Comments

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

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