Skip to main content
Log in

Zu einem hyperbolischen Gitterpunktproblem

  • Published:
Commentarii Mathematici Helvetici

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.

Literaturangaren

  1. Avacumović, G. V.,Ueber die Eigenfunktionen auf geschlossenen Riemann'schen Manigfaltigkeiten. Math. Zeit.65 (1956), 327–344.

    Article  Google Scholar 

  2. Chandrasekharan, K. undMinakshisundaram, S.,Typical Means. (Oxford 1952).

  3. Chandrasekharan, K., Introduction to Analytic Number Theory. Springer 1968.

  4. Chandrasekharan, K., Arithmetical functions. Springer 1970.

  5. Chandrasekharan, K. undNarasimhan, R.,Hecke's functional equation and arithmetical identities. Ann. of Math.74 (1961), 1–23.

    Article  MathSciNet  MATH  Google Scholar 

  6. —,Hecke's functional equation and the average order of arithmetical functions. Acta Arithm.6 (1961), 487–503.

    Article  MathSciNet  MATH  Google Scholar 

  7. —,Functional equations with multiple gamma factors and the average order of arithmetical functions. Ann. of Math.,76 (1962), 93–136.

    Article  MathSciNet  MATH  Google Scholar 

  8. —,The approximate functional equation for a class of zeta-functions. Math. Ann.152 (1963), 30–64.

    Article  MathSciNet  MATH  Google Scholar 

  9. Courant, R.,Differential and Integral Calculus. Vol. I, Blackie and Son, second edition.

  10. Fricker, F.,Ein Gitterpunktproblem im dreidimensionalen hyperbolischen Raum. Comment. Math. Helv.43 (1968), 402–416.

    Article  MathSciNet  MATH  Google Scholar 

  11. Hörmander, L.,The spectral function of an elliptic operator. Acta Math.121 (1968), 193–218.

    Article  MathSciNet  MATH  Google Scholar 

  12. Huber, H.,Ueber eine Klasse automorpher Funktionen und ein Gitterpunktproblem in der hyperbolischen Ebene. Comment. Math. Helv.30 (1956), 20–62.

    Article  MathSciNet  MATH  Google Scholar 

  13. —,Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. Math. Ann.138 (1959), 1–26.142 (1961), 385–398,143 (1961), 463–464.

    Article  MathSciNet  MATH  Google Scholar 

  14. Minakshisundaram, S. undPleijel, A.,Some properties of the Eigenfunctions of the Laplace-operator on Riemannian manifolds. Canad. Journ. of Math.1 (1949), 242–256.

    Article  MathSciNet  MATH  Google Scholar 

  15. Selberg, A.,On discontinous groups in higher dimensional symmetric spaces. Contr. to function theory (Tata Institute, Bombay 1960), 147–164.

    Google Scholar 

  16. Steinig, J.,The changes of sign of certain arithmetical error-terms. Comment. Math. Helv.44 (1968), 385–401.

    Article  MathSciNet  MATH  Google Scholar 

  17. Thurnheer, P., Une généralisation du théorème de Wiener-Ikehara. C.R. Acad. Sc. Paris, t. 290 (1980), 499.

    MathSciNet  MATH  Google Scholar 

  18. —,Le terme de reste dans un problème de réseau hyperbolique. C.R. Acad. Sc. Paris, t. 290 (1980), 581–583.

    MathSciNet  MATH  Google Scholar 

  19. Titchmarsh, E. C.,The theory of functions. Oxford University Press, 1932.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thurnheer, P. Zu einem hyperbolischen Gitterpunktproblem. Commentarii Mathematici Helvetici 56, 240–271 (1981). https://doi.org/10.1007/BF02566212

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566212

Navigation