Periods, Subconvexity of L-functions and Representation Theory
Bernstein, Joseph ; Reznikov, Andre
J. Differential Geom., Tome 69 (2005) no. 3, p. 129-142 / Harvested from Project Euclid
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We describe a new method to estimate the trilinear period on automorphic representations of PGL2ℝ. 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. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on unitary representations of PGL2ℝ.
Publié le : 2005-05-14
Classification:  
@article{1143572016,
     author = {Bernstein, Joseph and Reznikov, Andre},
     title = {Periods, Subconvexity of L-functions and Representation Theory},
     journal = {J. Differential Geom.},
     volume = {69},
     number = {3},
     year = {2005},
     pages = { 129-142},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143572016}
}

Bernstein, Joseph; Reznikov, Andre. Periods, Subconvexity of L-functions and Representation Theory. J. Differential Geom., Tome 69 (2005) no. 3, pp.  129-142. http://gdmltest.u-ga.fr/item/1143572016/