Modular points, modular curves, modular surfaces and modular forms

  • D. Zagier
Überblicksvorträge
Part of the Lecture Notes in Mathematics book series (LNM, volume 1111)

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Bibliography

  1. [1]
    B. Birch, Heegner points of elliptic curves, Symp. Mat., Inst. di Alta Mat. 15(1975), 441–445.MathSciNetMATHGoogle Scholar
  2. [2]
    J. Buhler, B. Gross and D. Zagier, On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3, to appear in Math. Comp. (1985).Google Scholar
  3. [3]
    M. Eichler and D. Zagier, The Theory of Jacobi Forms, to appear in Progress in Mathematics, Birkhäuser, Boston-Basel-Stuttgart (1985).CrossRefMATHGoogle Scholar
  4. [4]
    B. Gross and D. Zagier, Points de Heegner et dérivées de fonctions L, C.R. Acad. Sci. Paris 297(1983), 85–87.MathSciNetMATHGoogle Scholar
  5. [5]
    W. Hausmann, Kurven auf Hilbertschen Modulflächen, Bonner Math. Schriften 123(1980).Google Scholar
  6. [6]
    F. Hirzebruch, Hilbert modular surfaces, L’Ens. Math. 19(1973), 183–281.MathSciNetMATHGoogle Scholar
  7. [7]
    F. Hirzebruch and D. Zagier, Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus, Inv. Math. 36(1976), 57–113.MathSciNetCrossRefMATHGoogle Scholar
  8. [8]
    W. Kohnen, Modular forms of half-integral weight on Γ0(4), Math Ann. 248(1980), 249–266.MathSciNetCrossRefMATHGoogle Scholar
  9. [9]
    W. Kohnen, New forms of half-integral weight, J. reine Angew. Math. 333(1982), 32–72.MathSciNetMATHGoogle Scholar
  10. [10]
    W. Kohnen, Fourier coefficients of modular forms of half-integral weight, to appear in Math. Ann. (1985).Google Scholar
  11. [11]
    B. Mazur and H.P.F. Swinnerton-Dyer, Arithmetic of Weil curves, Inv. Math. 25(1974), 1–61.MathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    G. Shimura, On modular forms of half-integral weight, Ann. of Math. 97(1973), 440–481.MathSciNetCrossRefMATHGoogle Scholar
  13. [13]
    H.P.F. Swinnerton-Dyer and B. Birch, Elliptic curves and modular functions, in Modular Functions of One Variable IV, Lecture Notes in Math. 476, Springer, Berlin-Heidelberg-New York (1975), 2–32.CrossRefGoogle Scholar
  14. [14]
    J. Tate, Letter to J-P. Serre, Oct. 1, 1979.Google Scholar
  15. [15]
    J.-L. Waldspurger, Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. pures et appl. 60 (1981), 375–484.MathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • D. Zagier
    • 1
    • 2
  1. 1.University of MarylandCollege Park
  2. 2.Max-Planck-Institut für MathematikBonnFRG

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