Periods of residual representations of SO(2l)

David Ginzburg, Dihua Jiang, Stephen Rallis

Research output: Contribution to journalArticlepeer-review


In this paper, we extend the results on G2-period of residual representations of SO8g in [Jng98a], [Jng98b] to a generalized G 2-period of residual representations of SO2l (l ≥ 4). The period is expected to detect the nonvanishing of the relevant tensor product L-function at the center of the symmetry, which is a special case of the Gross-Prasad conjecture. More general cases will be considered in our forth-coming work [GJRa], [GJRb].

Original languageEnglish (US)
Pages (from-to)319-358
Number of pages40
JournalManuscripta Mathematica
Issue number3
StatePublished - Mar 2004

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