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Opis: 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 connection with the standard (L)-function attached to (F). What is more, we find explicit choices of orthogonal groups, for which we obtain a clear-cut Euler product expression for this Dirichlet series. Through our considerations, we recover a classical result for Siegel modular forms, first introduced by Kohnen and Skoruppa, but also provide a range of new examples, which can be related to other kinds of modular forms, such as paramodular, Hermitian, and quaternionic.
Ključne besede: orthogonal modular forms, Fourier-Jacobi forms, L-functions
Objavljeno v RUP: 25.09.2026; Ogledov: 201; Prenosov: 7
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