On the cubic Shimura lift for PGL3

Daniel Bump*, Solomon Friedberg, David Ginzburg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Two types of evidence are presented for the conjecture that the image of the cubic Shimura correspondence for PGL3 is characterized by the nonvanishing of a certain period. Specifically, if a cusp form occurs in the pullback of the automorphic theta function on SO8 under the adjoint homomorphism PGL3 → SO8, then the cusp form is conjectured to be a Shimura lift.

Original languageEnglish
Pages (from-to)289-307
Number of pages19
JournalIsrael Journal of Mathematics
Volume126
DOIs
StatePublished - 2001

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