Inventiones mathematicae

, Volume 71, Issue 2, pp 309–338 | Cite as

On the Saito-Kurokawa lifting

  • I. I. Piatetski-Shapiro


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Zagier, D.: Sur la conjecture de Saito-Kurokawa (d'aprés H. Maass), Seminaire Delange-Pisot-Poiton. Birkhäuser. PM vol 12 (1981)Google Scholar
  2. 2.
    Howe, R., Piatetski-Shapiro, I.: A counterexample to the “generalized Ramanujan conjecture” for (quasi-) spilt groups. Proc. of Symposium in Pure Math.33, (part 1) 315–322 (1979)Google Scholar
  3. 3.
    Rallis, S.: Langlands' functortiality and the Weil representation (preprint)Google Scholar
  4. 4.
    Waldspurger, J.L.: Correspondence de Shimura. J. de Math. Pures et Appl.59, 1–133 (1980)Google Scholar
  5. 5.
    Howe, R.: θ-series and invariant theory. Proc. of Sympsium in Pure Math. Vol.33, (1979), part 1, pp. 278–285Google Scholar
  6. 6.
    Piatetski-Shapiro, I.: L-functions forGSp 4 (preprint)Google Scholar
  7. 7.
    Jacquet, H., Shalika, J.: A non-vanishing theorem for the zeta-functions ofGL n. Invent. math.38, 1–16 (1976)Google Scholar
  8. 8.
    Jacquet, H., Langlands R.: Automorphic forms onGL(2). Lecture Notes, vol. 114. Berlin-Heidelberg-New York, SpringerGoogle Scholar
  9. 9.
    Piatetski-Shapiro, I.: Multiplicity one theorems. Proc. of Symposia in Pure Math.33, (part 1) 209–212 (1979)Google Scholar
  10. 10.
    Waldspurger, J.L.: Sur les Coefficients de Fourier des Formes Modulaires de poids demi-entier. J. Math. Pure Appl60, 345–484 (1981)Google Scholar
  11. 11.
    Kurokawa, N.: Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math.49, 149–165 (1978)Google Scholar
  12. 12.
    Maass, H.: I. Über eine Spezialschar von Modulformen Zweiten Grades. Invent. Math.52, 95–104 (1979)Google Scholar
  13. 12a.
    Maass, H.: II. Über eine Spezialschar von Modulformen Zweiten Grades. Invent. Math.53, 249–253 (1979)Google Scholar
  14. 12b.
    Maass, H.: III. Über eine Spezialschar von Modulformen Zweiten Grades. Invent. Math.53, 255–265 (1979)Google Scholar
  15. 13.
    Andrianov, A.: Modular descent and the Saito-Kurokawa conjecture. Invent. Math.53, 267–280 (1980)Google Scholar
  16. 14.
    Langlands, R.: On the notion of an automorphic representation. Proc. of Symp. in Pure Math.33, (part 1) 203–208 (1979)Google Scholar
  17. 15.
    Jacquet, H., Shalika, J.: On Euler products and the classification of automorphic forms. Amer. J. of Math.103, 499–558 (1981)Google Scholar
  18. 16.
    Waldspurger, J.L.: Correspondances de Shimura et quaternions. (preprint)Google Scholar
  19. 17.
    Borel, A., Jacquet, H.: Automorphic forms and automorphic representations. Proc. of Symp. in Pure Math.33, (part 1) 189–202 (1979)Google Scholar
  20. 18.
    Andrianov, A.N.: Dirichlet series and Euler product in the theory of Siegel modular forms of genus 2. MUAH, CCCP 112, (1971)Google Scholar
  21. 19.
    Langlands, R.P.: Euler products. Yale Univ. Press., 1971Google Scholar
  22. 20.
    Howe, R.: I. Piatetski-Shapiro. Some examples of automorphic forms onSp 4. Duke Math. Jour. (to appear)Google Scholar
  23. 21.
    Gelbart, S.: Piatetski-Shapiro, Distinguished representations and modular forms of half-integral weight. Invent. Math.59, 145–188 (1980)Google Scholar
  24. 22.
    Gelbart, S.: Weil's representation and the spectrum of the Metaplectic Group. Lecture Notes, vol 530 Berlin-Heidelberg-New York: SpringerGoogle Scholar
  25. 23.
    Rallis, S.: On the Howe duality conjecture. PreprintGoogle Scholar
  26. 24.
    Lion, G., Vergne, M.: The Weil representation, Maslow index and Theta series. PM 6, Birkhäuser, 1980Google Scholar
  27. 25.
    Piatetski-Shapiro, I., Soudry, L.: ε Factors forGPp 4. Journal of Faculty of Sci. Tokyo Sec IA (Vol 28, No 3)Google Scholar
  28. 26.
    Gelbart, S., Piatetski-Shapiro, I.: Some remarks on Metaplectic Cusp Forms and the Corespondence of Shimura and Waldspurger. Israel J. of Math, (to appear)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • I. I. Piatetski-Shapiro
    • 1
    • 2
  1. 1.School of Mathematical SciencesTel-Aviv UniversityTel-AvivIsrael
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

Personalised recommendations