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The subconvexity problem for GL2
Authors:Philippe Michel  Akshay Venkatesh
Affiliation:1. Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
2. Université Montpellier II, Montpellier, France
3. Stanford University, Stanford, USA
Abstract:Generalizing and unifying prior results, we solve the subconvexity problem for the L-functions of GL 1 and GL 2 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.
Keywords:
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