Skip to main content
SpringerLink
Log in

Automorphic forms for subgroups of the modular group II: Groups containing congruence subgroups

  • Published:
Journal d’Analyse Mathématique Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

References

  1. L. V. Ahlfors,Complex Analysis (third edition), McGraw-Hill, New York, 1979.

    MATH  Google Scholar 

  2. J. Bak and D. J. Newman,Complex Analysis, Springer-Verlag, Berlin, 1982.

    MATH  Google Scholar 

  3. H. M. Farkas,Elliptic functions and modular forms, inContributions to Analysis (L. Ahlfors, I. Kra, B. Maskit and L. Nirenberg, eds.) Academic Press, New York, 1974, pp. 133–145.

    Google Scholar 

  4. H. M. Farkas and Y. Kopeliovich,New theta constant identities, Israel J. Math.82 (1993), 133–140.

    Article  MATH  MathSciNet  Google Scholar 

  5. H. M. Farkas and Y. Kopeliovich,New theta constant identities II, Proc. Amer. Math. Soc.123 (1995), 1009–1020.

    Article  MATH  MathSciNet  Google Scholar 

  6. H. M. Farkas, Y. Kopeliovich and I. Kra,Uniformization of modular curves, Commun. Anal. Geom.4 (1996), 207–259.

    MATH  MathSciNet  Google Scholar 

  7. H. M. Farkas and I. Kra,Projective embeddings of Riemann surfaces uniformized by subgroups of the modular group, in preparation.

  8. H. M. Farkas and I. Kra,Theta constant identities with applications to combinatorial number theory, to appear in Contemp. Math.

  9. H. M. Farkas and I. Kra,Automorphic forms for subgroups of the modular group, Israel J. Math.82 (1993), 87–131.

    Article  MATH  MathSciNet  Google Scholar 

  10. R. C. Gunning,Lectures on Modular Forms, Annals of Mathematics Studies, Vol. 48, Princeton University Press, 1962.

  11. I. Kra,Automorphic Forms and Kleinian Groups, Benjamin, New York, 1972.

    MATH  Google Scholar 

  12. G. Shimura,Introduction to the Arithmetic Theory of Automorphic Functions, Publications of the Mathematics Society of Japan, Kanô Memorial Lectures 1, Vol. 11, Iwannami Shoten and Princeton University Press, 1971.

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Hershel M. Farkas

  2. Department of Mathematics, State University of New York at Stony Brook, 11794, Stony Brook, NY, USA

    Irwin Kra

Authors
  1. Hershel M. Farkas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Irwin Kra
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to the memory of Lars V. Ahlfors

Research by HMF supported in part by the Paul and Gabriella Rosenbaum Foundation and the Edmund Landau Center for Research in Mathematical Analysis with funding from the Minerva Foundation. Research by IK supported in part by NSF Grant DMS 9500557.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farkas, H.M., Kra, I. Automorphic forms for subgroups of the modular group II: Groups containing congruence subgroups. J. Anal. Math. 70, 91–156 (1996). https://doi.org/10.1007/BF02820442

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02820442

Keywords

Search

Navigation