Exceptional poles of type 1 and type 2 coincide for general-position principal series of GL(n,R), allowing the Rankin-Selberg L-function to be expressed via exceptional L-factors from derivatives.
Archimedean theory and -factors for the Asai Rankin-Selberg integrals, Relative trace formulas , Simons Symp., pages 1--50
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Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)
Exceptional poles of type 1 and type 2 coincide for general-position principal series of GL(n,R), allowing the Rankin-Selberg L-function to be expressed via exceptional L-factors from derivatives.