Estimates of triple products of automorphic functions II

Details Estimates of triple products of automorphic functions II Estimates of triple products of automorphic functions II

2012-02-21

arxiv.org/abs/1202.4766v1

Mathematics

Representation Theory

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

Scientific paper

We prove a sharp bound for the average value of the triple product of modular
functions for the Hecke subgroup \Gamma_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).

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