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Singularity conjecture and constructions of Jacobi forms

Singularity conjecture and constructions of Jacobi forms
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摘要 This paper verifies the singularity conjecture for Jacobi forms with higher degree in some typical cases, and gives constructions for the Jacobi cusp forms whose Fourier coefficients can be expressed by some kind of Rankin-type L-series. This paper verifies the singularity conjecture for Jacobi forms with higher degree in some typical cases, and gives constructions for the Jacobi cusp forms whose Fourier coefficients can be expressed by some kind of Rankin-typeL-series.
作者 王巨平
出处 《Science China Mathematics》 SCIE 2002年第7期827-835,共9页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China (Grant No. 19871013).
关键词 singular JACOBI form CUSP form. singular Jacobi form cusp form
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参考文献4

  • 1YoungJu Choie,Hyunkwang Kim,Marvin Knopp.Construction of Jacobi forms[J].Mathematische Zeitschrift.1995(1)
  • 2Siegfried B?cherer,Winfried Kohnen.Estimates for Fourier coefficients of Siegel cusp forms[J].Mathematische Annalen.1993(1)
  • 3Ziegler,C.Jacobi forms of higher degree, Abh.Math. Sem. Univ[].Hamburger Arzteblatt.1989
  • 4Klingen,H.Introductory Lectures on Siegel Modular Forms, Cambridge: Cambridge Univ[]..1990

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