Doubling constructions and tensor product L-functions: the linear case

Yuanqing Cai, Solomon Friedberg, David Ginzburg, Eyal Kaplan

Research output: Contribution to journalArticlepeer-review


We present an integral representation for the tensor product L-function of a pair of automorphic cuspidal representations, one of a classical group, the other of a general linear group. Our construction is uniform over all classical groups, and is applicable to all cuspidal representations; it does not require genericity. The main new ideas of the construction are the use of generalized Speh representations as inducing data for the Eisenstein series and the introduction of a new (global and local) model, which generalizes the Whittaker model. Here we consider linear groups, but our construction also extends to arbitrary degree metaplectic coverings; this will be the topic of an upcoming work.

Original languageEnglish
Pages (from-to)985-1068
Number of pages84
JournalInventiones Mathematicae
Issue number3
Early online date20 Apr 2019
StatePublished - 1 Sep 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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