The subconvexity problem for GL2

Michel, Philippe; Venkatesh, Akshay

doi:10.1007/s10240-010-0025-8

Michel, Philippe ; Venkatesh, Akshay

Publications Mathématiques de l'IHÉS, Tome 111 (2010), pp. 171-271.

Résumé

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.

DOI : 10.1007/s10240-010-0025-8

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     author = {Michel, Philippe and Venkatesh, Akshay},
     title = {The subconvexity problem for {GL2}},
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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. http://www.numdam.org/articles/10.1007/s10240-010-0025-8/

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