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Publications mathématiques de l'IHÉS

, Volume 111, Issue 1, pp 171–271 | Cite as

The subconvexity problem for GL2

  • Philippe Michel
  • Akshay Venkatesh
Article

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

Eisenstein Series Automorphic Form Sobolev Norm Automorphic Representation Cuspidal Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© IHES and Springer-Verlag 2010

Authors and Affiliations

  1. 1.Ecole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.Université Montpellier IIMontpellierFrance
  3. 3.Stanford UniversityStanfordUSA

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