Advertisement

Mathematische Annalen

, Volume 265, Issue 4, pp 457–472 | Cite as

A remark on the Hilbert modular forms of weight 1

  • Hideo Shimizu
Article

Keywords

Modular Form Hilbert Modular Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Gel'fand, I.M., Graev, M.I., Pyatetskii-Shapiro, I.I.: Representation theory and automorphic functions. Philadelphia, London, Toronto: Saunders 1969Google Scholar
  2. 2.
    Godement, R.: Notes on Jacquet-Langlands' theory. Lecture Note. Princeton: Institute for Advanced Study, 1970Google Scholar
  3. 3.
    Gundlach, K.B.: Poincarésche und Eisensteinsche Reihen zur Hilbertschen Modulgruppe. Math. Z.64, 339–352 (1956)Google Scholar
  4. 4.
    Gundlach, K.B.: Ganze Nichtspitzenformen der Dimension — 1 zu den Hilbertschen Modulgruppen reell-quadratischer Zahlkörper. Arch. Math.7, 453–456 (1956)Google Scholar
  5. 5.
    Hecke, E.: Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik. Abh. Math. Sem. Hamburg. Univ.5, 199–224 (1927)Google Scholar
  6. 6.
    Jacquet, H., Langlands, R.P.: Automorphic forms on GL(2). In: Lecture Notes in Mathematics, Vol. 114. Berlin, Heidelberg, New York: Springer 1970Google Scholar
  7. 7.
    Klingen, H.: Über den arithmetischen Charakter der Fourierkoeffizienten von Modulformen. Math. Ann.147, 176–188 (1962)Google Scholar
  8. 8.
    Kloostermann, H.D.: Theorie der Eisensteinschen Reihen von mehreren Veränderlichen. Abh. Math. Sem. Hamburg. Univ.6, 163–188 (1928)Google Scholar
  9. 9.
    Shimizu, H.: Theta series and automorphic forms on GL2. J. Math. Soc. Japan24, 638–683 (1972)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Hideo Shimizu
    • 1
  1. 1.Department of Mathematics, College of General EducationUniversity of TokyoTokyoJapan

Personalised recommendations