The Rankin-Selberg method for automorphic distributions
Wilfried Schmid (Harvard)
Rankin and Selberg separately proved the holomorphic continuation and
functional equation of what, in retrospect, can be called the Langlands
L-function of the tensor product of two holomorphic discrete series
representations of SL(2,R). The method has been adapted to the GL(n) x GL(m),
exterior square, and symmetric square L-functions for GL(n). After
recounting the existing results, I shall describe an adaptation of the
Rankin-Selberg method to automorphic distributions, which has led to new
results. This is joint work with Steve Miller.
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