Skip to main content
SpringerLink
Log in

Theta functions on then-fold metaplectic cover of SL(2)—the function field case

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bump, D., Hoffstein, J.: Some conjectured relationships between theta functions and Eisenstein series on the metaplectic group. In: Chudnovsky, D.V. et al. (eds.) Proceedings of the New York Number Theory Seminar. (Lect. Notes Math., vol. 1383, pp. 1–11) Berlin Heidelberg New York: Springer 1989

    Google Scholar 

  2. Deligne, P.: Sommes de Gauss cubiques et revêtements de SL(2). (Lect. Notes Math., vol. 770, pp. 244–277), Berlin Heidelberg New York: Springer 1980

    Google Scholar 

  3. Heath-Brown, D.R., Patterson, S.J.: The distribution of Kummer sums at prime arguments. J. Reine Angew. Math.310, 111–130 (1979)

    Google Scholar 

  4. Hoffstein, J., Rosen, M.: Average values ofL-series in function fields. J. Reine Angew. Math. (to appear)

  5. Kazhdan, D.A., Patterson, S.J.: Metaplectic forms. Publ. Math., Inst. Hautes Étud. Sci.,59, 35–142 (1984)

    Google Scholar 

  6. Kubota, T.: On automorphic forms and the reciprocity law in a number field. Tokyo: Kinokuniya Book Store Co. 1969

    Google Scholar 

  7. Patterson, S.J.: A cubic analogue of the theta series. J. Reine Angew. Math.296, 125–161 (1977)

    Google Scholar 

  8. Patterson, S.J.: Wittaker models of generalized theta series. In: Bertini, M.-J., Goldstein, C. (eds.) Sém. de th. des nombres. Paris, 1982–83. Boston: Birkhäuser 1984

    Google Scholar 

  9. Shimura, G.: On modular forms of half-integral weight. Ann. Math.97 (1973)

  10. Suzuki, T.: Some results on the coefficients of the biquadratic theta series. J. Reine Angew. Math.340, 70–117 (1982)

    Google Scholar 

  11. Suzuki, T.: Rankin-Selberg convolutions of generalized theta series. J. Reine Angew. Math. (to appear)

  12. Weil, A.: Sur certaines groupes d'operateurs unitaire. Acta Math.111, 143–211 (1964)

    Google Scholar 

  13. Zagier, D.: The Rankin-Selberg method for automorphic functions which are not of rapid decay. J. Fac. Sci. Univ. of Tokyo, Sect. I A,28, 415–437 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Brown University, 02912, Providence, RI, USA

    Jeffrey Hoffstein

Authors
  1. Jeffrey Hoffstein
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to the memory of George Cooke

Oblatum 4-I-1991

Partially supported by a grant from NSF

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hoffstein, J. Theta functions on then-fold metaplectic cover of SL(2)—the function field case. Invent Math 107, 61–86 (1992). https://doi.org/10.1007/BF01231881

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01231881

Keywords

Search

Navigation