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Estimates of triple products of automorphic functions II

arXiv:1202.4766

Abstract

We prove a sharp bound for the average value of the triple product of modular functions for the Hecke subgroup Γ_0(N). Our result is an extension of the main result in {Bernstein&Reznikov-2004} to a fixed cuspidal representation of the adele group PGL(2,A).

Appendix to Multiple Dirichlet Series and Shifted Convolutions by J. Hoffstein, arXiv:1110.4868