A Fourier-Jacobi Dirichlet series for cusp forms on orthogonal groups
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We investigate a Dirichlet series involving the Fourier-Jacobi coefficients of two cusp forms F, G for orthogonal groups of signature ( 2 , n + 2 ) . In the case when F is a Hecke eigenform and G is a Maass lift of a Poincaré series, we establish a connectio... ...
