L functions for the orthogonal group

D. Ginzburg*, I. Piatetski-Shapiro, S. Rallis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this Memoir we establish global Rankin Seiberg integrals which determine the standard L function for the group GLr × G′ where G′ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair Π1 ⊗ Π2 where Π1 is generic cuspidal for GLr(double-struck A) and Π2 is cuspidal for G′(double-struck A). The constructon of these L functions involves the use of certain new "models" of local representations; these models generalize the usual generic models. Also we compute local unramified factors in a new way using geometric ideas.

Original languageEnglish
JournalMemoirs of the American Mathematical Society
Issue number611
StatePublished - Jul 1997
Externally publishedYes


  • Automorphic L functions


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