On Dirichlet Series and Petersson Products for Siegel Modular Forms
Siegfried Böcherer, Francesco Ludovico Chiera (2008)
Annales de l’institut Fourier
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We prove that the Dirichlet series of Rankin–Selberg type associated with any pair of (not necessarily cuspidal) Siegel modular forms of degree and weight has meromorphic continuation to . Moreover, we show that the Petersson product of any pair of square–integrable modular forms of weight may be expressed in terms of the residue at of the associated Dirichlet series.