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Mar 24, 2017 at 15:16 vote accept Med
Mar 23, 2017 at 16:22 comment added GH from MO Yes. One can find a quick and fairly explicit treatment (all very standard of course) on pages 25-26 of Blomer-Harcos: Twisted L-functions over number fields and Hilbert's eleventh problem, Geom. Funct. Anal. 20 (2010), 1-52.
Mar 23, 2017 at 16:16 comment added Med Dear Paul thank you so much for your answer.
Mar 23, 2017 at 16:13 history answered paul garrett CC BY-SA 3.0