# Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two

@article{Ryan2012NumericalCO, title={Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two}, author={N. Ryan and N. Skoruppa and F. Str{\"o}mberg}, journal={Math. Comput.}, year={2012}, volume={81}, pages={2361-2376} }

The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G. In particular, we prove that the series DF,G(s), which share the same functional equation and analytic behavior with the spinor L-functions of eigenforms of the same weight are not linear combinations of those. In order to conduct these experiments a numerical method to compute the Petersson scalar… CONTINUE READING

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