Doubling global constructions for tensor product L-functions
I will present a joint work with Cai, Friedberg and Ginzburg.
In a series of constructions, we apply the ``doubling method"
from the theory of automorphic forms to covering groups.
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.