Skip to main content

Work of Waldspurger

  • Conference paper
  • First Online:
Lie Group Representations II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1041))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.-L. Waldspurger, "Correspondance de Shimura," J. Math. Pures Appl. 59 (1980), 1–133.

    MathSciNet  MATH  Google Scholar 

  2. _____, "Sur les coefficients de Fourier des formes modulaires de poids demi-entier," J. Math. Pures Appl. 60 (1981), 375–484.

    MathSciNet  MATH  Google Scholar 

  3. _____, "Correspondance de Shimura et quaternions," preprint.

    Google Scholar 

  4. _____, "Engendrement par des séries théta de certains espaces de formes modulaires," Invent. Math. 50 (1979), 135–168.

    Article  MathSciNet  MATH  Google Scholar 

  5. _____, "Correspondance de Shimura," Seminairé de Théorie de Nombres, Paris, 1979–80, Progress in Math., Vol. 12, Birkhäuser, Boston, 1981, pp. 357–369.

    Google Scholar 

  6. R. Howe, "θ-series and invariant theory," in Proceeding of Symposia in Pure Mathematics, A.M.S. vol. XXXIII, p. 275–285.

    Google Scholar 

  7. R. Howe and I. Piatetski-Shapiro, "Some examples of automotphic forms on Sp4," to appear in Duke Math. J.

    Google Scholar 

  8. S. Rallis and Schiffmann, G., "Représentations supercuspidales du groupe métaplectique," J. Math. Kyoto. Univ. 17 (1977), 567–603.

    MathSciNet  MATH  Google Scholar 

  9. M.-F. Vignéras, "Valeur au centre de symétrie des fonctions L associées aux formes modulaires,", Seminaire de Théorie de Nombres, Paris, 1979–80, Progress in Math., vol. 12, Birkhäuser, Boston, 1981, pp. 331–356.

    Google Scholar 

  10. G. Shimura, "On modular forms of half-integral weight," Ann. of Math. (2) 97 (1973), 440–481.

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Rallis, "On the Howe duality conjecture," preprint.

    Google Scholar 

  12. S. Gelbart, "Weil's representation and the spectrum of the metaplectic group," Lecture Notes in Math., vol. 530, Springer-Verlag, Berlin-New York, 1976.

    Google Scholar 

  13. S. Gelbart and I. Piatetski-Shapiro, "On Shimura's correspondence for modular forms of half-integral weight," in Automorphic forms, Representation theory and Arithmetic, Tata Institute of Fundamental Research, Bombay, 1979.

    Google Scholar 

  14. _____, "Some remarks on metaplectic cusp forms and the correspondence of Shimura and Waldspurger," Israel J. Math., to appear.

    Google Scholar 

  15. A. Weil, "Sur la formule de Siegel dans la théorie des groupes classiques," Acta Math. 113 (1965), 1–87.

    Article  MathSciNet  MATH  Google Scholar 

  16. Y. Flicker, "Automorphic forms on covering groups of GL(2)," Invent. Math. 57 (1980), 119–182.

    Article  MathSciNet  MATH  Google Scholar 

  17. H. Jacquet and R. P. Langlands, "Automorphic forms on GL(2)," Lecture Notes in Math., vol. 114, Springer-Verlag, Berlin-New York, 1970.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Rebecca Herb Stephen Kudla Ronald Lipsman Jonathan Rosenberg

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Piatetski-Shapiro, I. (1983). Work of Waldspurger. In: Herb, R., Kudla, S., Lipsman, R., Rosenberg, J. (eds) Lie Group Representations II. Lecture Notes in Mathematics, vol 1041. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073151

Download citation

  • DOI: https://doi.org/10.1007/BFb0073151

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12715-4

  • Online ISBN: 978-3-540-38699-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics