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Congruences et formes modulaires

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Séminaire Bourbaki vol. 1971/72 Exposés 400–417

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 317))

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Bibliographie

  1. A. O. L. ATKIN-Congruences for modular forms, Computers in mathematical research (ed. by R. F. Churchhouse and J-C. Herz), p. 8–19, North-Holland, Amsterdam, 1968.

    Google Scholar 

  2. Z. I. BOREVIČ et I. R. ŠAFAREVIČ-Théorie des nombres (traduit du russe par M. et J-L. Verley), Gauthier-Villars, Paris, 1967.

    Google Scholar 

  3. P. DELIGNE-Formes modulaires et représentations ℓ-adiques, Séminaire Bourbaki, exposé 355 (février 1969), Lecture Notes no 179, Springer-Verlag, 1971.

    Google Scholar 

  4. M. DEURING-Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hamburg, 14, 1941, p. 197–272.

    Article  MathSciNet  Google Scholar 

  5. E. HECKE-Mathematische Werke, Vandenhoeck und Ruprecht, Göttingen, 1959.

    MATH  Google Scholar 

  6. J. IGUSA-Class number of a definite quaternion with prime discriminant, Proc. Nat. Acad. Sci. USA, 44, 1958, p. 312–314.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. IGUSA-On the algebraic theory of elliptic modular functions, J. Math. Soc. Japan, 20, 1968, p. 96–106.

    Article  MathSciNet  MATH  Google Scholar 

  8. H. KLINGEN-Über die Werte der Dedekindschen Zetafunktionen, Math. Ann., 145, 1962, p. 265–272.

    Article  MathSciNet  MATH  Google Scholar 

  9. O. KOLBERG-Note on Ramanujan's function τ(n), Math. Scand. 10, 1962, p. 171–172.

    MathSciNet  MATH  Google Scholar 

  10. O. KOLBERG-Congruences for the coefficients of the modular invariant j(τ), Math. Scand. 10, 1962, p. 173–181.

    MathSciNet  MATH  Google Scholar 

  11. J. LEHNER-Lectures on modular forms, Nat. Bureau of Standards, Appl. Math. Ser. 61, Washington, 1969.

    Google Scholar 

  12. S. RAMANUJAN-On certain arithmetical functions, Trans. Cambridge phil. Soc., 22, 1916, p. 159–184 (Collected Papers, no 18, p. 136–162).

    Google Scholar 

  13. P. ROQUETTE-Analytic theory of elliptic functions over local fields, Vandenhoeck und Ruprecht, Göttingen, 1970.

    Google Scholar 

  14. J.-P. SERRE-Abelian ℓ-adic representations and elliptic curves, Benjamin, New York, 1968.

    Google Scholar 

  15. J.-P. SERRE-Une interprétation des congruences relatives à la fonction τ de Ramanujan, Séminaire Delange-Pisot-Poitou, 1967/1968, exposé 14.

    Google Scholar 

  16. J.-P. SERRE-Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. math., 15, 1972, p. 259–331.

    Article  MathSciNet  MATH  Google Scholar 

  17. C. L. SIEGEL-Berechnung von Zetafunktionen an ganzzahligen Stellen, Gött. Nach. 1969, no 10, p. 87–102.

    Google Scholar 

  18. H. P. F. SWINNERTON-DYER-Some implications of Ramanujan's methods of proving congruences for τ(n) (1971, non publié).

    Google Scholar 

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Authors
  1. Jean-Pierre Serre
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A. Dold B. Eckmann

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© 1973 N. Bourbaki

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Serre, JP. (1973). Congruences et formes modulaires. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069289

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  • DOI: https://doi.org/10.1007/BFb0069289

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06179-3

  • Online ISBN: 978-3-540-38403-8

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