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arXiv · 1504.02667

On the subconvexity problem for L-functions on GL(3)

Valentin Blomer·Jack Buttcane
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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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Valentin Blomer, Jack Buttcane. 2015-04-10. On the subconvexity problem for L-functions on GL(3). https://arxiv.org/abs/1504.02667

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