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arxiv: 1202.4766 · v1 · pith:J7TYW4DUnew · submitted 2012-02-21 · 🧮 math.RT · math.NT

Estimates of triple products of automorphic functions II

classification 🧮 math.RT math.NT
keywords functionsresulttripleadeleautomorphicaveragebernsteinbound
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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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