Congruences et formes modulaires

Jean-Pierre Serre

Séminaire Bourbaki (1971-1972)

  • Volume: 14, page 319-338
  • ISSN: 0303-1179

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Serre, Jean-Pierre. "Congruences et formes modulaires." Séminaire Bourbaki 14 (1971-1972): 319-338. <http://eudml.org/doc/109819>.

@article{Serre1971-1972,
author = {Serre, Jean-Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {319-338},
publisher = {Springer-Verlag},
title = {Congruences et formes modulaires},
url = {http://eudml.org/doc/109819},
volume = {14},
year = {1971-1972},
}

TY - JOUR
AU - Serre, Jean-Pierre
TI - Congruences et formes modulaires
JO - Séminaire Bourbaki
PY - 1971-1972
PB - Springer-Verlag
VL - 14
SP - 319
EP - 338
LA - fre
UR - http://eudml.org/doc/109819
ER -

References

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  1. [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. Zbl0186.36302MR240053
  2. [2] Z.I. Borevič et I.R. Šafarevič - Théorie des nombres (traduit du russe par M. et J-L. Verley), Gauthier-Villars, Paris, 1967. MR205908
  3. [3] P. Deligne - Formes modulaires et représentations l-adiques, Séminaire Bourbaki, exposé 355 (février 1969), Lecture Notes n° 179, Springer-Verlag, 1971. Zbl0206.49901
  4. [4] M. Deuring - Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hamburg, 14, 1941, p. 197-272. Zbl0025.02003MR5125JFM67.0107.01
  5. [5] E. Hecke - Mathematische Werke, Vandenhoeck und Ruprecht, Göttingen, 1959. Zbl0092.00102MR104550
  6. [6] J. Igusa - Class number of a definite quaternion with prime discriminant, Proc. Nat. Acad. Sci. USA, 44, 1958, p. 312-314. Zbl0081.03601MR98728
  7. [7] J. Igusa - On the algebraic theory of elliptic modular functions, J. Math. Soc. Japan, 20, 1968, p. 96-106. Zbl0164.21101MR240103
  8. [8] H. Klingen - Über die Werte der Dedekindschen Zetafunktionen, Math. Ann., 145, 1962, p. 265-272. Zbl0101.03002MR133304
  9. [9] O. Kolberg - Note on Ramanujan's function τ(n) , Math. Scand.10, 1962, p. 171-172. Zbl0109.03101
  10. [10] O. Kolberg - Congruences for the coefficients of the modular invariant j(τ) , Math. Scand.10, 1962, p. 173-181. Zbl0109.03003
  11. [11] J. Lehner - Lectures on modular forms, Nat. Bureau of Standards, Appl. Math. Ser. 61, Washington, 1969. Zbl0189.36801MR264070
  12. [12] S. Ramanujan - On certain arithmetical functions, Trans. Cambridge phil. Soc., 22, 1916, p. 159-184 (Collected Papers, n° 18, p. 136-162). MR2280861
  13. [13] P. Roquette - Analytic theory of elliptic functions over local fields, Vandenhoeck und Ruprecht, Göttingen, 1970. Zbl0194.52002MR260753
  14. [14] J.-P. Serre - Abelian l-adic representations and elliptic curves, Benjamin, New York, 1968. Zbl0186.25701MR263823
  15. [15] J.-P. Serre - Une interprétation des congruences relatives à la fonction τ de Ramanujan, Séminaire Delange-Pisot-Poitou, 1967/1968, exposé 14. Zbl0186.36902
  16. [16] J.-P. Serre - Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. math., 15, 1972, p. 259-331. Zbl0235.14012MR387283
  17. [17] C.L. Siegel - Berechnung von Zetafunktionen an ganzzahligen Stellen, Gött. Nach.1969, n° 10, p. 87-102. Zbl0186.08804MR252349
  18. [18] H.P.F. Swinnerton-Dyer - Some implications of Ramanujan's methods of proving congruences for τ(n) (1971, non publié). 

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