Abstract
Let g be a fixed normalized Hecke–Maass cusp form for SL ( 2 , Z ) associated to the Laplace eigenvalue 1 4 + ν 2 . We show that g is uniquely determined by the central values of the family { L ( s , f ⊗ g ) : g ∈ H k ( 1 ) } for k sufficiently large, where H k ( 1 ) denotes a Hecke basis of the space of holomorphic cusp forms for SL ( 2 , Z ) .
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