Advertisement

Relations between automorphic forms produced by theta-functions

  • Stephen S. Kudla
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 627)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    T. Asai, On the Doi-Naganuma lifting associated to imaginary quadratic fields, (to appear).Google Scholar
  2. [2]
    K. Doi & H. Naganuma, On the functional equation of certain Dirichlet series, Invent. Math. 9(1969) 1–14.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    S. Kudla, Theta-functions and Hilbert modular forms, to appear.Google Scholar
  4. [4]
    H. Naganuma, On the coincidence of two Dirichlet series associated with cusp forms of Hecke's “Neben”-type and Hilbert modular forms over a real quadratic field, J. Math. Soc. Japan, 25(1973) 547–554.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    S. Niwa, Modular forms of half-integral weight and the integral of certain theta-functions, Nagoya Math. J. 56(1974) 147–161.MathSciNetzbMATHGoogle Scholar
  6. [6]
    S. Rallis & G. Schiffmann, Automorphic forms constructed from the Weil representation, Holomorphic case, Lecture Notes, University of Notre Dame, (1976).Google Scholar
  7. [7]
    C. L. Siegel, Indefinite quadratische Formen und Funktionen Theorie I & II, Math. Ann. 124(1951/52) 17–54, 364–387.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    C. L. Siegel, Symplectic Geometry, Amer. J. Math. 65(1943) 1–86.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    G. Shimura, On modular forms of half-integral weight, Ann. of Math. 97(1973) 440–481.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    T. Shintani, On construction of holomorphic cusp forms of half integral weight, Nagoya Math. J. 58(1975) 83–126.MathSciNetzbMATHGoogle Scholar
  11. [11]
    D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30(1975) 1–46.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Stephen S. Kudla

There are no affiliations available

Personalised recommendations