Poles of certain residual eisenstein series of classical groups

Dihua Jiang, Baiying Liu, Lei Zhang

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We study the location of possible poles of a family of residual Eisenstein series on classical groups. Special types of residues of those Eisenstein series were used as key ingredients in the automorphic descent constructions of Ginzburg, Rallis and Soudry and in the refined constructions of Ginzburg, Jiang and Soudry. We study the conditions for the existence of other possible poles of those Eisenstein series and determine the possible Arthur parameters for the residual representations if they exist. Further properties of those residual representations and their applications to automorphic constructions will be considered in our future work.

Original languageEnglish (US)
Pages (from-to)83-123
Number of pages41
JournalPacific Journal of Mathematics
Volume264
Issue number1
DOIs
StatePublished - 2013

Keywords

  • Arthur parameters
  • Eisenstein series
  • Residual representations

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