SpringerLink
Log in

On the growth of Fourier coefficients of certain special Siegel cusp forms

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Canada)

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Andrianov, A.N.: Euler products corresponding to Siegel modular forms of genus 2. Russ. Math. Surv. 29, 45–116 (1974)

    MATH  Google Scholar 

  2. Böcherer, S., Raghavan, S.: On Fourier coefficients of Siegel modular forms. J. Reine Angew. Math. 384, 80–101 (1988)

    MathSciNet  Google Scholar 

  3. Böcherer, S., Kohnen, W.: Estimates for Fourier coefficients of Siegel cusp forms. Math. Ann. 297, 499–517 (1993)

    MathSciNet  Google Scholar 

  4. Breulmann, S.: Estimates for the Fourier coefficients of Siegel cusp forms of degree three. Math. Ann. 310, 129–160 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Eichler, M., Zagier, D.: The theory of Jacobi forms. Progress in Math., vol. 55, Birkhäuser: Boston, 1985

  6. Ikeda, T.: On the lifting of elliptic modular forms to Siegel cusp forms of degree 2n. Ann. of Math. 154(3), 641–681 (2001)

    MATH  Google Scholar 

  7. Katsurada, H.: An explicit form for Siegel series. Amer. J. Math. 121, 415–452 (1999)

    MathSciNet  MATH  Google Scholar 

  8. Kohnen, W.: Modular forms of half-integral weight on Γ0(4). Math. Ann. 248, 249–266 (1980)

    MATH  Google Scholar 

  9. Kohnen, W.: Estimates for Fourier coefficients of Siegel cusp forms of degree two. II. Nagoya Math. J. 128, 171–176 (1992)

    MATH  Google Scholar 

  10. Kohnen, W.: Estimates for Fourier coefficients of Siegel cusp forms of degree two. Compos. Math. 87, 231–240 (1993)

    MathSciNet  MATH  Google Scholar 

  11. Kohnen, W.: Jacobi forms and Siegel modular forms: recent results and problems. L’Enseignement Mathématique, t. 39, 121–136 (1993)

    Google Scholar 

  12. Kohnen, W.: On a conjecture of Resnikoff and Saldaña. Bull. Austral. Math. Soc. 56, 235–237 (1997)

    MathSciNet  MATH  Google Scholar 

  13. Kohnen, W.: Lifting modular forms of half-integral weight to Siegel modular forms of even genus. Math. Ann. 322, 787–809 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  14. Kohnen, W.: Linear relations between Fourier coefficients of special Siegel modular forms. Nagoya Math. J. 173, 153–161 (2004)

    Google Scholar 

  15. Resnikoff, H.L., Saldaña, R.L.: Some properties of Fourier coefficients of Eisenstein series of degree two. J. Reine Angew. Math. 265, 90–109 (1974)

    MATH  Google Scholar 

  16. Shimura, G.: On modular forms of half-integral weight. Ann. of Math. 97, 440–481 (1973)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universität Heidelberg, Mathematisches Institut, INF 288, D-69120, Heidelberg, Germany

    Winfried Kohnen

Authors
  1. Winfried Kohnen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Winfried Kohnen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kohnen, W. On the growth of Fourier coefficients of certain special Siegel cusp forms. Math. Z. 248, 345–350 (2004). https://doi.org/10.1007/s00209-003-0643-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00209-003-0643-7

Keywords

Search

Navigation