Generalizing and unifying prior results, we solve the subconvexity problem for the L-functions of GL1 and GL2 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. © 2010 IHES and Springer-Verlag.
CITATION STYLE
Michel, P., & Venkatesh, A. (2010). The subconvexity problem for GL2. Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques, 111(1), 171–271. https://doi.org/10.1007/s10240-010-0025-8
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