Subconvexity Bounds for Triple L-functions and Representation Theory
نویسندگان
چکیده
We describe a new method to estimate the trilinear period on automorphic representations of PGL2(R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value of the triple L-function. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on unitary representations of PGL2(R).
منابع مشابه
Periods, Subconvexity of L-functions and Representation Theory
We describe a new method to estimate the trilinear period on automorphic representations of PGL2(R). Such a period gives rise to a special value of the triple Lfunction. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on un...
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