Skip to main content
Log in

Confluent hypergeometric functions on tube domains

  • 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. Indik, R.: Thesis, Princeton University 1982

  2. Jacquet, H.: Fonctions de Whittaker associées aux groupes de Chevalley. Bull. Soc. Math. France95, 243–309 (1967)

    Google Scholar 

  3. Kaufhold, G.: Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades. Math. Ann.137, 454–476 (1959)

    Google Scholar 

  4. Koecher, M.: Über Thetareihen indefiniter quadratischer Formen. Math. Nachr.9, 51–85 (1953)

    Google Scholar 

  5. Maass, H.: Siegel's modular forms and Dirichlet series. Lecture Notes in Mathematics. Vol. 216. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  6. Shimura, G.: On the holomorphy of certain Dirichlet series. Proc. London Math. Soc.31, 79–98 (1975)

    Google Scholar 

  7. Siegel, C.L.: Über die analytische Theorie der quadratischen Formen. Ann. Math.36, 527–606 (1935)

    Google Scholar 

  8. Siegel, C.L.: Über die Zetafunktionen indefiniter quadratischer Formen. Math. Z.43, 682–708 (1938)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by NSF Grant MCS-8100744

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shimura, G. Confluent hypergeometric functions on tube domains. Math. Ann. 260, 269–302 (1982). https://doi.org/10.1007/BF01461465

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01461465

Keywords

Navigation