Skip to main content

Sommes de Gauss cubiques et revêtements de SL(2), d'après S.J. Patterson

Part of the Lecture Notes in Mathematics book series (LNM,volume 770)

This is a preview of subscription content, access via your institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. I.N. Bernstein and A.V. Zelevinsky-Representations of the group GL(n,F), where F is a local non archimedian field-Uspekhi Math. Nauk. 31 3 (1976) p 5–70.

    MATH  Google Scholar 

  2. I.N. Bernstein and A.V. Zelevinsky-Induced representations of reductive p-adic groups I-Ann. Sc. ENS 10 (1977) p 441–472.

    MATH  MathSciNet  Google Scholar 

  3. Y. Flicker-Automorphic forms on covering groups of GL(2)-preprint IAS.

    Google Scholar 

  4. B. Gross and N. Koblitz-Gauss sums and the p-adic p-function.

    Google Scholar 

  5. D.R. Heath-Brown and S.J. Patterson-The distribution of Kummer sums at prime arguments.

    Google Scholar 

  6. H. Jacquet and R.P. Langlands-Automorphic forms on GL(2)-Springer Lecture Notes. 114 (1970).

    Google Scholar 

  7. T. Kubota-On automorphic functions and the reciprocity law in a number field-Lectures Notes in Math. 2, Kyoto Univ. 1969.

    Google Scholar 

  8. T. Kubota-Some results concerning reciprocity law and real analytic automorphic functions. Proc. Symp. Pure Math. 20 (1971) p 382–395.

    MATH  MathSciNet  Google Scholar 

  9. T. Kubota-Some number theoretical results on real analytic automorphic forms-Several complex variables, Maryland (1970). Springer Lecture Notes 185 p 87–96.

    Google Scholar 

  10. T. Kubota-On an analogy to the Poisson summation formula for generalized Fourier transforms-J. Crelle 268 (1974) p 180–189.

    MATH  MathSciNet  Google Scholar 

  11. T. Kubota-Elementary theory of Eisenstein series-Kodanska 1973.

    Google Scholar 

  12. R.P. Langlands-On the functional equations satisfied by Eisenstein series-Springer Lecture Notes 544.

    Google Scholar 

  13. C.R. Matthews-Gauss sums and elliptic functions — I the Kumme sum, Inv. Math 52 2(1979) p163–186; II the quartic sum. Preprint IHES.

    CrossRef  MATH  MathSciNet  Google Scholar 

  14. H. Matsumoto-Sur les sous-groupes arithmétiques des groupes semi-simples déployés-Ann. Sc. ENS 2 (1969) p 1–62.

    MATH  Google Scholar 

  15. J. Milnor-Algebraic K-theory and quadratic forms-Inv. Math. (1970) p 318–344.

    Google Scholar 

  16. C.Moen-Intertwining operators for covering groups of SL(2) over a local field. Thesis. University of Chicago 1979.

    Google Scholar 

  17. C. Moore-Group extensions of p-adic and adelic linear groups-Publ. Math. THES 35 (1968) p 5–70.

    MATH  Google Scholar 

  18. S.J. Patterson-A cubic analogue of the theta series-I,II-J. Crelle 296 (1977) p 125–161 et 217–220.

    MATH  MathSciNet  Google Scholar 

  19. S.J. Patterson-On the distribution of Kummer sums-J. Crelle 303/304 (1978) p 126–143.

    MathSciNet  Google Scholar 

  20. S.J. Patterson-On Dirichlet series associated with cubic Gauss sums-J. Crelle 303/304 (1978) p 102–125.

    MathSciNet  Google Scholar 

  21. J.P. Serre-Corps locaux-Publ. Ins. Math. Univ. Nancago VIII-Hermann 1962.

    Google Scholar 

  22. A. Weil-Jacobi sums as "grössencharaktere"-Trans. AMS 73 (1952) p 487–495.

    CrossRef  MATH  MathSciNet  Google Scholar 

  23. A. Weil-Dirichlet series and automorphic forms-Springer Lecture Note 189 (1971).

    Google Scholar 

  24. Algebraic K-theory I,II,III-Springer Lecture Notes 341, 342, 343.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1980 N. Bourbaki

About this paper

Cite this paper

Deligne, P. (1980). Sommes de Gauss cubiques et revêtements de SL(2), d'après S.J. Patterson. In: Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542. Lecture Notes in Mathematics, vol 770. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096246

Download citation

  • DOI: https://doi.org/10.1007/BFb0096246

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09733-4

  • Online ISBN: 978-3-540-38547-9

  • eBook Packages: Springer Book Archive