Subconvexity bounds for triple L-functions and representation theory
By J. Bernstein, A. Reznikov. 2006
50 citations recorded by the source corpus.
We describe a new method to estimate the trilinear period on automorphic representations of PGL 2 (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 PGL 2 (ℝ).
Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/efa1bc6d54defb6dd6cd656d70cfc78c563a9d9d
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In Applied Mathematics
- Akshay Venkatesh
- P. Michel
- Shou-wu Zhang
- R. Munshi
- V. Blomer
- Gergely Harcos
- Nicolas Templier
- Atsushi Ichino
In Discrete Mathematics and Combinatorics
In Mathematical Physics
- Akshay Venkatesh
- P. Michel
- V. Blomer
- M. Young
- Gergely Harcos
- R. Munshi
- Nicolas Templier
- Djordje Milićević
Citations in the corpus
- The orbit method and analysis of automorphic forms (2018, unknown): “1], [11], [75], [31], [18], [65, Rmk 50], [68, Thm 1.”
- The subconvexity problem for GL2 (2009, background): “Its usage in the “period” form presented above seems to have been noticed independently by the present authors in their attempt to geometrize [48], and by Bernstein and Reznikov in their work on the subconvexity problem for triple product L-functions [5].”