Doubling Constructions for Covering Groups and Tensor Product L-Functions

Abstract

This is a research announcement concerning a series of constructions obtained by applying the "doubling method" from the theory of automorphic forms to covering groups. Using these constructions, we obtain partial tensor product L-functions attached to generalized Shimura lifts, which may be defined in a natural way since at almost all places the representations are unramified principal series.

References in corpus (2)

• Criteria for the Existence of Cuspidal Theta Representations
• The Gindikin-Karpelevich Formula and Constant Terms of Eisenstein Series for Brylinski-Deligne Extensions

Cited by in corpus (5)

• Doubling constructions: Global functoriality for non-generic cuspidal representations
• Classical Theta Lifts for Higher Metaplectic Covering Group
• Tensor Product $L$-Functions On Metaplectic Covering Groups of $G{L}_r$
• Twisted doubling integrals for Brylinski-Deligne extensions of classical groups
• Doubling Constructions and Tensor Product $L$-Functions: the linear case