Skip to main content
Log in

On certain arithmetic automorphic forms forSU (1,q)

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. Asai, T.: On the Doi-Naganuma lifting associated with imaginary quadratic fields, preprint (1975)

  2. Braun, H.: Hermitian modular forms, I, II, Annals of Math.50, 827–855 (1949); Ann of Math.51, 92–104 (1950)

    Google Scholar 

  3. Hirzebruch, F., Zagier, D.: Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. Invent. Math.36, 57–113 (1976)

    Google Scholar 

  4. Howe, R.: Invariant theory and duality for classical groups over finite fields, with applications to their singular representation theory, preprint

  5. Kudla, S.: Theta-functions and Hilbert modular forms, Nagoya Math. J.69, 97–106 (1978)

    Google Scholar 

  6. Kudla, S.: Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms. Invent. Math.47, 189–208 (1978)

    Google Scholar 

  7. Millson, J.: Geometric construction of homology of arithmetic quotients, preprint

  8. Niwa, S.: Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J.56, 147–161 (1974)

    Google Scholar 

  9. Oda, T.: On modular forms associated with indefinite quadratic forms of signature (2,n−2). Math. Annallen.231, 97–144 (1977)

    Google Scholar 

  10. Rallis, S., Schiffman, G.: Automorphic forms constructed from the Weil representation; holomorphic case, preprint (1976)

  11. Shimura, G.: On modular forms of half integral weight, Ann. of Math.97, 440–481 (1973)

    Google Scholar 

  12. Shimura, G.: On some arithmetic properties of modular forms of one and several variables. Ann. of Math.102, 491–515 (1975)

    Google Scholar 

  13. Shimura, G.: Theta functions with complex multiplication, Duke Math. J.43, 673–696 (1976)

    Google Scholar 

  14. Shimura, G.: On the derivatives of theta functions and modular forms. Duke Math. J.44, 365–387 (1977)

    Google Scholar 

  15. Shimura, G.: The arithmetic of automorphic forms with respect to a unitary group, Ann. of Math.107, 569–605 (1978)

    Google Scholar 

  16. Shimura, G.: On certain reciprocity-laws for theta functions and modular forms, to appear

  17. Shintani, T.: On construction of holomorphic cusp forms of half integral weight, Nagoya Math. J.58, 83–126 (1975)

    Google Scholar 

  18. Zagier, D.: Modular forms associated to real quadratic fields, Invent. Math.30, 1–46 (1975)

    Google Scholar 

  19. Zagier, D.: Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields. Modular Functions of One Variable VI, Bonn, Lecture Notes in Mathematics 627, Berlin, Heidelberg, New York: Springer, 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by NSF Grant No. MCS78-02817

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kudla, S.S. On certain arithmetic automorphic forms forSU (1,q). Invent Math 52, 1–25 (1979). https://doi.org/10.1007/BF01389855

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389855

Keywords

Navigation