The subconvexity problem for $\GL_{2}$
Number Theory
2014-11-18 v2
Abstract
Generalizing and unifying prior results, we solve the subconvexity problem for the -functions of and automorphic representations over a fixed number field, uniformly in all aspects. A novel feature of the present method is the softness of our arguments; this is largely due to a consistent use of canonically normalized period relations, such as those supplied by the work of Waldspurger and Ichino--Ikeda.
Cite
@article{arxiv.0903.3591,
title = {The subconvexity problem for $\GL_{2}$},
author = {Philippe Michel and Akshay Venkatesh},
journal= {arXiv preprint arXiv:0903.3591},
year = {2014}
}
Comments
Almost final version to appear in Publ. Math IHES. References updated.