I heard this name that it can construct GL(2) automorphic forms or L-functions from GL(1)? I did not find it anywhere. Or does it have another name which we are familiar with?
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Automorphic Induction. Look at Bumps book on Automorphic reps in the first chapter.
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$\begingroup$ Also Blomer-Brumley discuss this here: The role of the Ramanujan conjecture in analytic number theory, Bulletin AMS 50 (2013), 267-320 $\endgroup$ Commented Mar 6, 2013 at 8:40
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$\begingroup$ This question is so vague that the answer he's looking for might be "Eisenstein series" instead! $\endgroup$ Commented Mar 6, 2013 at 11:20