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A Rankin-Selberg Integral Using the Automorphic Minimal Representation of SO(7)
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We show that a certain residue of a metaplectic Eisenstein series on SO7 affords the automorphic minimal representation, whose local theory was described by Torasso, Roskies and Sabourin. As an application, we give a Rankin-Selberg construction of the Langlands L-function for the third fundamental representation of the L-group Sp(6,C), which is an Euler product of degree 14 attached to a generic cusp form on SO7.
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