Abstract
We define a twisted two complex variables Rankin-Selberg convolution of Siegel cusp forms of degree 2. We find its group of functional equations and prove its analytic continuation to \({\mathbb{C}^2}\) . As an application we obtain a non-vanishing result for special values of the Fourier Jacobi coefficients. We also prove the analytic properties for the characteristic twists of convolutions of Jacobi cusp forms.
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Research Supported by Fondecyt grants 1061147, 7060241.
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Imamōlu, Ö., Martin, Y. On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms. Math. Z. 263, 345–368 (2009). https://doi.org/10.1007/s00209-008-0421-7
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DOI: https://doi.org/10.1007/s00209-008-0421-7