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)


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  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

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© Springer-Verlag 1977

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  • Stephen S. Kudla

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