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On the Rankin–Selberg method for vector-valued Siegel modular forms

On the Rankin–Selberg method for vector-valued Siegel modular forms

In this work, we use the Rankin–Selberg method to obtain results on the analytic properties of the standard [Formula: see text]-function attached to vector-valued Siegel modular forms. In particular we provide a detailed description of its possible poles and obtain a non-vanishing result of the twisted [Formula: see text]-function beyond …