Skip to main content
Log in

Selberg zeta functions associated with a theta multiplier system of SL2(Z) and Jacobi forms

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Arakawa, T.: Real analytic Eisenstein series for the Jacobi group. Abh Math. Semin. Univ. Hamb.60, 131–148 (1990)

    Google Scholar 

  2. Elstrodt, J.: Die Resolvent zum Eigenwertproblem deer automorphen Formen in der hyperbolischen Ebene, Teil I. Math. Ann.203, 295–330 (1973)

    Google Scholar 

  3. Eichler, M., Zagier, D.: The theory of Jacobi forms. Boston. Birkhäuser 1985

    Google Scholar 

  4. Fischer, J.: An approach to the Selberg trace formula via the Selberg zeta-function. (Lect. Notes Math., vol. 1253) Berlin Heidelberg New York: Springer 1987

    Google Scholar 

  5. Hejhal, D.A.: The Selberg trace formula forPSL(2, ℝ), vol. 2. (Lect. Notes Math., vol. 1001) Berlin Heidelberg New York: Springer 1983

    Google Scholar 

  6. Roelcke, W.: Das Eigenwertproblem der automorphen in der hyperbolischen Ebene. I. Math. Ann.167, 292–337 (1966)

    Google Scholar 

  7. Roelcke, W.: Das Eigenwertproblem der automorphen in der hyperbolischen Ebene. II. Math. Ann.168, 261–324 (1967)

    Google Scholar 

  8. Selberg, A.: Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. J. Indian Math. Soc.20, 47–87 (1956)

    Google Scholar 

  9. Selberg, A.: Harmonic analysis. (Collect. Papers, vol. I, pp. 626–674) Berlin Heidelberg New York: Springer 1989

    Google Scholar 

  10. Skoruppa, N.-P.: Über den Zusammenhang zwischen Jacobiformen und Modulformen halbganzen Gewichts. Bonn. Math. Schr.159, (1985)

  11. Skoruppa, N.-P.: Developments in the theory of Jacobi forms. In: Kuznetsov, N., Bykovsky, V. (eds.) International Conference Automorphic Functions and their Applications, Khabarovsk, 1988, pp. 167–185. Khabarovsk: The USSR Academy of Science 1990

    Google Scholar 

  12. Skoruppa, N.-P., Zagier, D.: Jacobi forms and a certain space of modular forms. Invent. Math.94, 113–146 (1988)

    Google Scholar 

  13. Skoruppa, N.-P., Zagier, D.: A trace formula for Jacobi forms. J. Reine Angew. Math.393, 168–198 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arakawa, T. Selberg zeta functions associated with a theta multiplier system of SL2(Z) and Jacobi forms. Math. Ann. 293, 213–237 (1992). https://doi.org/10.1007/BF01444713

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444713

Keywords

Navigation