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International Mathematics Research Notices (2007) Vol. 2007 : article ID rnm018, 21 pages, doi:10.1093/imrn/rnm018 published on May 24, 2007
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Copyright © The Author 2007. Published by Oxford University Press.

On Jacobi Poincaré Series of Small weight

Kathrin Bringmann1 and Tonghai Yang2,

1 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
2 Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, USA

Correspondence: Correspondence to be sent to: Tonghai Yang, Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, USA. e-mail: thyang{at}math.wisc.edu

Communicated by Peter Sarnak



References

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  2. Bringmann K. Applications of Poincaré series on Jacobi groups. (2004) PhD thesis, University of Heidelberg.
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  8. Eichler M., Zagier D. The Theory of Jacobi forms. Progress in Mathematics (1985) Vol. 55. Boston, MA; Basel; Stuttgart: Birkhäuser.
  9. Gross B., Kohnen W., Zagier D. Heegner points and derivatives of L-series. II. Mathematische Annalen (1987) 278:497–562.[CrossRef][Web of Science]
  10. Kohnen W. Estimates of Fourier coefficients of Siegel cusp forms of degree two. Compositio Mathematica (1993) 87:231–240.[Web of Science]
  11. Kohnen W. On the growth of Fourier coefficients of certain special Siegel cusp forms. Mathematische Zeitschrift (2004) 248:345–350.[Web of Science]
  12. Resnikoff H. L., Salda~na R. L. Some properties of Fourier coefficients of Eisenstein series of degree two. Journal Fur Die Reine Und Angewandte Mathematik (1974) 265:90–109.[Web of Science]
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This Article
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