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

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 . As an application we obtain a non-vanishing result for special values of the Fourier Jacobi coefficients. We also...

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 263; no. 2; pp. 345 - 368
Main Authors Imamōlu, Özlem, Martin, Yves
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.10.2009
Subjects
Mathematics
Mathematics and Statistics
11F50
11F46
11F66
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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 . 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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-008-0421-7