On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms

Imamōlu, Özlem ; Martin, Yves

In: Mathematische Zeitschrift, 2009, vol. 263, no. 2, p. 345-368

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    Summary
    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