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On the subconvexity problem for L-functions on GL(3) (1504.02667v1)
Published 10 Apr 2015 in math.NT
Abstract: Let f be a cusp form for the group SL(3, Z) with Langlands parameter mu and associated L-function L(s, f). If mu is in generic position, i.e. away from the Weyl chamber walls and away from the self-dual forms, we prove the subconvexity bound L(1/2, f) << || mu || {3/4 - 1/120000}.
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