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}
}
  • N. Ryan, N. Skoruppa, F. Strömberg
  • Published 2012
  • Mathematics, Computer Science
  • Math. Comput.
  • 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
    4 Citations

    Topics from this paper.

    Weil representations associated to finite quadratic modules
    • 12
    • PDF
    Computation of Harmonic Weak Maass Forms
    • 11
    • PDF

    References

    SHOWING 1-10 OF 40 REFERENCES
    Computations of Siegel modular forms of genus two
    • 50
    • PDF
    A trace formula for Jacobi forms.
    • 41
    • PDF
    Introduction to Interval Computation
    • 1,928
    The Theory of Jacobi Forms
    • 638
    Skoruppa, Sage-add-ons: A Sage package for computing Siegel modular forms of degree 2, 2009, http://hg.countnumber.de
    • 2009
    Skoruppa, sage-add-ons: A Sage package for computing Siegel modular forms of degree 2, 2009, http://hg.countnumber.de
    • 2009