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Estimations on dimensions of spaces of Jacobi forms

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Abstract

Estimations on dimensions of spaces of Jacobi forms are given by extending the classical Siegel theorem to the theory of Jacobi forms.

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References

  1. Siegel, C. L., Über die analytische Theorie der quadratischen Forrnen,Ann. of Math., 1935, 36: 527.

    Article  MathSciNet  Google Scholar 

  2. Braun, H., Der Basissatz für hermitische Modulformen,Abh. Math. Sem. Univ. Hamburg, 1955, 19: 134.

    Article  MATH  MathSciNet  Google Scholar 

  3. Krieg, A., Modular forms on half-space of quatemions, inLecture Notes in Math., Vol. 1143, Berlin: Springer-Verlag, 1985.

    Google Scholar 

  4. Poor, C., Yuen, D. S., Estimates for dimensions of spaces of Siegel modular cusp forms,Abh. Math. Sem. Univ. Hamburg, 1996, 66: 337.

    MATH  MathSciNet  Google Scholar 

  5. Maass, H., Über die Darstellung der Modulformen n -ten Grades durch Poincarésche Reihen,Math. Ann., 1951, 123: 125.

    Article  MATH  MathSciNet  Google Scholar 

  6. Ziegler, C., Jacobi forms of higher degree,Abh. Math. Sem. Univ. Hamburg, 1989, 59: 191.

    MATH  MathSciNet  Google Scholar 

  7. Klingen, H.,Introductory Lectures on Siegel Modular Forms, New York: Cambridge Univ. Press, 1990.

    MATH  Google Scholar 

  8. Andrianov, A. N., Quadratic forms and Hecke operators, inGrundlehren Math. Wiss., Vol. 286, Berlin: Springer-Verlag, 1975.

    Google Scholar 

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Project supported by the China Postdoctoral Science Foundation and the National Natural Science Foundation of China.

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Wang, J. Estimations on dimensions of spaces of Jacobi forms. Sci. China Ser. A-Math. 42, 147–153 (1999). https://doi.org/10.1007/BF02876566

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  • DOI: https://doi.org/10.1007/BF02876566

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