Skip to main content
SpringerLink
Log in

Improper Eisenstein series on Bruhat-Tits trees

  • Published:
manuscripta mathematica 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

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Deligne, P., Husemöller, D., Survey of Drinfeld modules, Contemp. Math. 67 (1987), 25–91.

    Google Scholar 

  2. Drinfeld, V.G., Elliptic Modules, Math. Sbornik 94 (1974), 594–627 (Russian); English Translation: Math. USSR-Sbornik 23 (1976), 561–592

    MathSciNet  Google Scholar 

  3. Fresnel, J., van der Put, M., Géométrie Analytique Rigide et Applications, Progr. Math., vol. 18, Birkhäuser, Basel-Boston, 1981

    MATH  Google Scholar 

  4. Gekeler, E.-U., Drinfeld-Moduln und modulare Formen über rationalen Funktionenkörpern, Bonner Math Schriften 119 (1980)

  5. Gekeler, E.-U., A product expansion for the discriminant function of Drinfeld modules of rank two, J. Number Theory 21 (1985), 135–140

    Article  MathSciNet  Google Scholar 

  6. Gekeler, E.-U., Automorphe Formen über\(\mathbb{F}_q (T)\) mit kleinem Führer, Abh. Math. Sem. Univ. Hamburg 55 (1985), 111–146

    MathSciNet  Google Scholar 

  7. Gekeler, E.-U., Drinfeld Modular Curves, Lect. Notes Math., vol. 1231, Springer, Berlin-Heidelberg-New York, 1986

    MATH  Google Scholar 

  8. Gekeler, E.-U., On the coefficients of Drinfeld modular forms, Invent. Math. 93 (1988), 667–700

    Article  MathSciNet  Google Scholar 

  9. Gekeler, E.-U., Analytical construction of Weil curves over function fields, J. Théorie des Nombres de Bordeaux, to appear

  10. Gekeler, E.-U., Reversat, M., Jacobians of Drinfeld modular curves, submitted

  11. Goss, D., π-adic Eisenstein Series for Function Fields Comp. Math. 41 (1980), 3–38

    MathSciNet  Google Scholar 

  12. Harder, G., Halbeinfache Gruppenschemata über Dedekindringen, Invent. Math. 4 (1967), 165–191

    Article  MathSciNet  Google Scholar 

  13. Harder, G., Chevalley groups over function fields and automorphic forms, Ann. Math. 100 (1974), 249–306

    Article  MathSciNet  Google Scholar 

  14. Harder, G., Li, W.-C.W., Weisinger, J. R., Dimensions of spaces of cusp forms over function fields, J. reine angew. Math. 319 (1980), 73–103

    MathSciNet  Google Scholar 

  15. Hoffstein, J., Eisenstein series and theta functions on the metaplectic group, in: Theta functions, M. Ram Murty (ed.), CRM Proceedings and Lecture Notes, vol. 1, AMS, Providence, 1993

    Google Scholar 

  16. Mazur, B., Modular curves and the Eisenstein ideal, Publ. IHES 47 (1977), 33–186

    MathSciNet  Google Scholar 

  17. Rankin, R.A., Modular forms and functions, Cambridge University Press, Cambridge-London-New York-Melbourne, 1977

    MATH  Google Scholar 

  18. Serre, J.-P., Trees, Springer, Berlin-Heidelberg-New York, 1980

    MATH  Google Scholar 

  19. Tan, K.-S., Modular elements over function fields, J. Number Theory 45 (1993), 295–311

    Article  MathSciNet  Google Scholar 

  20. Teitelbaum, J., Modular symbols for\(\mathbb{F}_q (T)\), Duke Math. J. 68 (1992), 271–295

    Article  MathSciNet  Google Scholar 

  21. Teitelbaum, J., The Poisson kernel for Drinfeld modular curves. J. Amer. Math. Soc. 4 (1991), 491–511

    Article  MathSciNet  Google Scholar 

  22. Weil, A., On the analogue of the modular group in characteristicp, in: “Functional Analysis, etc”, Proc. Conf. in honor of M. Stone, 211–223, Springer, Berlin-Heidelberg-New York, 1970

    Google Scholar 

  23. Weil, A., Dirichlet series and automorphic forms, Lect. Notes Math., vol. 189, Springer, Berlin-Heidelberg-New York, 1971

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. FB 9 Mathematik, Universität des Saarlandes, Postfach 15 11 50, D-66041, Saarbrücken

    Ernst-Ulrich Gekeler

Authors
  1. Ernst-Ulrich Gekeler
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by DFG, Schwerpunkt “Algorithmische Zahlentheorie und Algebra”

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gekeler, EU. Improper Eisenstein series on Bruhat-Tits trees. Manuscripta Math 86, 367–391 (1995). https://doi.org/10.1007/BF02568000

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02568000

Keywords

Search

Navigation