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Jun 12, 2020 at 11:03 vote accept Monty
Jun 12, 2020 at 10:26 comment added Monty Thank you very much! Your comments always help me a lot!
Jun 11, 2020 at 18:19 comment added paul garrett Well, correct, in the right half-plane, at points where the constant terms have poles, the residues are in a proper quotient of the principal series.
Jun 11, 2020 at 17:31 comment added Monty @ Paul, Thank you very much for your excellent answer! Then can we also say nothing about the constant terms of Eisenstein series $E_P(\phi_1,s)$ and $E_P(\phi_2,s)$? Even in the positive cone/half-plane case, I still believe that $E(\phi_1,s)$ and $E(\phi_2,s)$ should be related in some concrete way.
Jun 11, 2020 at 16:29 history answered paul garrett CC BY-SA 4.0