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THE SUBCONVEXITY PROBLEM FOR GL2

delete2010-05-19
delete25
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OA
AI
P
Philippe Michel *
A
Akshay Venkatesh
DOI:10.1007/s10240-010-0025-8delete
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摘要

摘要

En 中文
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.
Keyword:
SELBERG L-FUNCTIONS
RANKIN-SELBERG
TRILINEAR FORMS
AUTOMORPHIC-FORMS
CENTRAL VALUES
HYBRID BOUNDS
REPRESENTATIONS
EQUIDISTRIBUTION
COEFFICIENTS
CONDUCTOR

期刊

P
Publications Mathematiques de l IHES
IF:
3.5
论文数:
133
被引数:
2.2K

机构

U
universite de montpellier
学者数:
3.8W
论文数: 2.6W
被引数: 46
S
swiss federal institutes of technology domain
学者数:
9.0W
论文数: 8.0W
被引数: 163
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