On the subconvexity problem for L-functions on GL(3)
Number Theory
2015-04-13 v1
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}.
Cite
@article{arxiv.1504.02667,
title = {On the subconvexity problem for L-functions on GL(3)},
author = {Valentin Blomer and Jack Buttcane},
journal= {arXiv preprint arXiv:1504.02667},
year = {2015}
}
Comments
46 pages