Geodesic
The subconvexity problem for GL2
Publications Mathématiques de l'IHÉS, Tome 111 (2010), pp. 171-271

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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.

@article{PMIHES_2010__111__171_0,
     author = {Michel, Philippe and Venkatesh, Akshay},
     title = {The subconvexity problem for {GL2}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {171--271},
     publisher = {Springer-Verlag},
     volume = {111},
     year = {2010},
     doi = {10.1007/s10240-010-0025-8},
     mrnumber = {2653249},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-010-0025-8/}
}
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Michel, Philippe; Venkatesh, Akshay. The subconvexity problem for GL2. Publications Mathématiques de l'IHÉS, Tome 111 (2010), pp. 171-271. doi: 10.1007/s10240-010-0025-8

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