Mathematische Annalen

, Volume 299, Issue 1, pp 17–56

Shintani function and its application to automorphicL-functions for classical groups

I. The case of orthogonal groups
  • Atsushi Murase
  • Takashi Sugano

Mathematics Subject Classification (1991)



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [B]
    Böcherer, S.: Ein Rationalitätssatz für formale Heckereichen zur Siegelschen Modulgruppe. Abh. Math. Semin. Univ. Hamburg56, 35–47 (1986)Google Scholar
  2. [E]
    Eichler, M.: Quadratische Formen und orthogonale Gruppen. Berlin Heidelberg New York: Springer 1952Google Scholar
  3. [F]
    Furusawa, M.: OnL-functions for GSp(4)×GL(2) and their special values. J. Reine Angew. Math.438, 187–218 (1991)Google Scholar
  4. [F-S]
    Furusawa, M., Shalika, J.A.: On Fourier coefficients of Eisenstein series. In: Algebraic analysis, geometry and number theory. Proceeding of JAMI International Conference, pp. 81–98. Baltimore: The Johns Hopkins University 1989Google Scholar
  5. [G-PS-R]
    Gelbart, S., Piatetski-Shapiro, I., Rallis, S.: Explicit constructions of automorphicL-functions. (Lect. Notes Math., vol. 1254) Berlin Heidelberg New York: Springer 1985Google Scholar
  6. [H-S]
    Hina, T., Sugano, T.: On the local Hecke series of some classical groups overp-adic fields. J. Math. Soc. Japan35(1), 133–152 (1983)Google Scholar
  7. [L1]
    Langlands, R.: Euler products. Yale Math. Monogr.1 (1971)Google Scholar
  8. [L2]
    Langlands, R.: Functional equations satisfied by Eisenstein series. (Lect. Notes Math., vol. 544) Berlin Heidelberg New York: Springer 1976Google Scholar
  9. [M-S1]
    Murase, A., Sugano, T.: Whittaker functions on the symplectic group of Fourier-Jacobi type. Compos. Math.79, 321–349 (1991)Google Scholar
  10. [M-S2]
    Murase, A., Sugano, T.: On standardL-functions associated with holomorphic cusp forms onO(2,m+2). (Preprint 1990)Google Scholar
  11. [M-S3]
    Murase, A., Sugano, T.: Rankin-Selberg convolution forL-functions ofO(m, 2). (Preprint)Google Scholar
  12. [PS-R]
    Piatetski-Shapiro, I., Rallis, S.: ɛ facor of representations of classical groups. Proc. Natl. Acad. Sci. USA83, 4589–4593 (1986)Google Scholar
  13. [PS-R-S]
    Piatetski-Shapiro, I., Rallis, S., Schiffmann, G.:L-functions for the groupG 2. Bull. Am. Math. Soc.23(2), 388–399 (1990)Google Scholar
  14. [Sa]
    Satake, I.: Theory of spherical functions on reductive algebraic groups overp-adic fields. Publ. Math., Inst. Hautes Étud. Sci.18, 5–69 (1963)Google Scholar
  15. [Shi]
    Shintani, T. Unpublished notesGoogle Scholar
  16. [Su]
    Sugano, T.: Jacobi forms and the theta lifting. (Preprint)Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Atsushi Murase
    • 1
  • Takashi Sugano
    • 2
  1. 1.Faculty of ScienceKyoto Sangyo UniversityKyotoJapan
  2. 2.Faculty of ScienceHiroshima UniversityHigashi-hiroshimaJapan

Personalised recommendations