Residues of Eisenstein series and generalized Shalika models for SO4n

DIhua Jiang, Yujun Qin

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We introduce the generalized Shalika model for SO(4n), the split even orthogonal group of rank 2n, and develop the local and global compatibilities with the Shalika model for GL(2n), the general linear group of rank 2n. As result, we determine the existence of poles of certain Eisenstein series on SO(4n) in terms of the Shalika model on the cuspidal datum (GL(2n), π), and give a different proof for the determination of the pole at s = 1 of the exterior square L-function L(s, π,Λ2) in terms of the Shalika model on π.

Original languageEnglish (US)
Pages (from-to)101-133
Number of pages33
JournalJournal of the Ramanujan Mathematical Society
Volume22
Issue number2
StatePublished - Jun 2007

Fingerprint Dive into the research topics of 'Residues of Eisenstein series and generalized Shalika models for SO<sub>4n</sub>'. Together they form a unique fingerprint.

Cite this