References
H. Aoki, Estimating Siegel modular forms of genus 2 using Jacobi forms.J. Math. Kyoto Univ. 40-3 (2000), 581–588.
M. Eichler andD. Zagier,The Theory of Jacobi Forms. Progress in Math.55, Birkhäuser, 1985.
E. Freitag, Modulformen zweiten Grades zum rationalen und Gaußschen Zahlkörper (German),Sitzungsber. Heidelb. Akad. Wiss. (1967), 3-9.
C. F. Hermann, Some modular varieties related toP4. Abelian Varieties, (Egloffstein 1993) de Gruyter, 1995, 105-129.
T. Ibukiyama, On differential operators on automorphic forms and invariant pluriharmonic polynomials.Comm. Math. Univ. St. Pauli 48 (1999), 103–118.
_, A remark on the hermitian modular forms.Osaka University Research Reports in Mathematics 99–19 (1999).
_, The Siegel modular forms of weight 35, in preparation.
J. Igusa, On Siegel modular forms of genus two.Amer. J. Math. 84 (1962), 175–200.
_, On Siegel modular forms of genus two (II),Amer. J. Math. 86(1964), 392–412.
H. Kojima, An Arithmetic of Hermitian Modular Forms of Degree two.Invent. Math. 69(1982), 217–227.
S. Nagaoka, A note on the structure of the ring of symmetric Hermitian modular forms of degree 2 over the Gaussian field.J. Math. Soc. Japan 48-3 (1996), 525–549.
T. Sugano, The Maass space for SU(2,2) (Japanese),Res. Inst. Math. Sci. Kokyuroku 546(1985), 1–16.
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Aoki, H. The graded ring of hermitian modular forms of degree 2. Abh.Math.Semin.Univ.Hambg. 72, 21–34 (2002). https://doi.org/10.1007/BF02941662
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DOI: https://doi.org/10.1007/BF02941662