Skip to main content
SpringerLink
Log in

How perturbations satisfying Hilbert’s modular group affect the invariant metric

  • 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.

Institutional subscriptions

References

  1. S. Bergman, The kernel function and conformal mapping,Math. Surveys, Vol.5, Providence, R. I. (1950).

  2. H. Cohn, Modular functions defined by perturbation mappings,Lectures on functions of a complex variable, Ann Arbor, (1955), 341–348.

  3. H. Cohn, On the shape of the fundamental domain of the Hilbert modular group,Theory of Numbers, Proc. Sympos. Pure Math., Vol.8, Providence, R. I. (1965), 190–202.

  4. H. Maass, Differentialgleichungen und automorphe Funktionen,Proc, Int. Cong. Math., Vol.3, Amsterdam (1954), 34–39.

    Google Scholar 

  5. A. Selberg, Automorphic functions and integral operators,Seminar in analytic functions, Inst. Adv. Study 1957, Report TN58-750 AD 201–502 U.S. Air Force O.S.R.D. Vol. II, 152–161.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Arizona, Tucson, Arizona, USA

    Harvey Cohn

Authors
  1. Harvey Cohn
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported by N.S.F. Grant G-7412.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cohn, H. How perturbations satisfying Hilbert’s modular group affect the invariant metric. J. Anal. Math. 18, 53–59 (1967). https://doi.org/10.1007/BF02798034

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02798034

Keywords

Search

Navigation