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Séries thêta des formes quadratiques indéfinies

  • Marie-France Vignéras
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 627)

Keywords

Modular Form Cusp Form Dirichlet Series Automorphic Form Series Theta 
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Bibliographie

  1. [0]
    APPEL P. et KAMPÉ DE FÉRIET J.-Fonctions hyperqéométriques et hypersphériques. Polynômes d'Hermite-Gauthier-Villars, (1926) (3e partie).Google Scholar
  2. [1]
    BOCHNER S.-Lectures on Fourier Integrals. Ann. of Math. Studies, No 42, Princeton University Press (1959).Google Scholar
  3. [2]
    DOI K., NAGANUMA H.-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), 547–555.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [3]
    GELBART S.-Automorphic forms on adele groups. Ann. of Math. Studies, No 83, Princeton University Press 1975.Google Scholar
  5. [4]
    HECKE E.-Mathematische Werke, Vandenhoeck und Ruprecht, Göttingen (1959).Google Scholar
  6. [5]
    KUDLA Theta Functions and Hilbert Modular Forms. (Preprint).Google Scholar
  7. [6]
    MAASS H.-Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktional Gleichungen. Math. Annalen 121 (1949), 141–183.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [7]
    MAASS H.-Lectures on Modular Functions of One Complex Variable. Tata Institute (1964), chap. IV et V.Google Scholar
  9. [8]
    NIWA S.-Modular Forms of half integral weight and the integral of certain theta functions. Nagoya Math. Journal 56 (1975), 147–163.MathSciNetzbMATHGoogle Scholar
  10. [9]
    OGG A.-Modular Forms and Dirichlet Series. Benjamin (1969), chap. VI.Google Scholar
  11. [10]
    RALLIS S. et SCHIFFMANN G.-Automorphic forms constructed from the Weil Representation, holomorphic case (1976) (preprint).Google Scholar
  12. [11]
    SCHOENEBERG B.-Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen. Math. Annalen 116 (1939), 511–523.MathSciNetCrossRefzbMATHGoogle Scholar
  13. [12]
    SHALIKA I., TANAKA S.-On an explicit construction of a certain class of automorphic forms. Amer. J. of Math. 91 (1969), 1049–1076.MathSciNetCrossRefzbMATHGoogle Scholar
  14. [13]
    SHIMIZU H.-Theta series and automorphic forms on GL(2). Journ. Math. Soc. Japan, 24 (1972), 638–683.MathSciNetCrossRefzbMATHGoogle Scholar
  15. [14]
    SHIMURA G.-On modular forms of half-integral weight. Ann. of Math. 97 (1973), 440–481.MathSciNetCrossRefzbMATHGoogle Scholar
  16. [15]
    SHINTANI T.-On construction of holomorphic cusp forms of half integral weight. Nagoya Math. Journal 58 (1975), 83–126.MathSciNetzbMATHGoogle Scholar
  17. [16]
    VIGNÉRAS M.-F.-Séries thêta des formes quadratiques indéfinies. Séminaire de théorie des nombres Delange-Pisot-Poitou (1976–1977).Google Scholar
  18. [17]
    WEIL A.-Sur certains groupes d'opérateurs unitaires. Acta Math. 111 (1964), 143–211.MathSciNetCrossRefzbMATHGoogle Scholar
  19. [18]
    ZAGIER D.-Modular Forms associated to real quadratic fields. Inventiones Mathematicae 30 (1975), 1–48.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1977

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  • Marie-France Vignéras

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