Opérateurs de Hecke et fonctions zêta

Armand Borel

Séminaire Bourbaki (1964-1966)

  • Volume: 9, page 441-463
  • ISSN: 0303-1179

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Borel, Armand. "Opérateurs de Hecke et fonctions zêta." Séminaire Bourbaki 9 (1964-1966): 441-463. <http://eudml.org/doc/109709>.

@article{Borel1964-1966,
author = {Borel, Armand},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {441-463},
publisher = {Société Mathématique de France},
title = {Opérateurs de Hecke et fonctions zêta},
url = {http://eudml.org/doc/109709},
volume = {9},
year = {1964-1966},
}

TY - JOUR
AU - Borel, Armand
TI - Opérateurs de Hecke et fonctions zêta
JO - Séminaire Bourbaki
PY - 1964-1966
PB - Société Mathématique de France
VL - 9
SP - 441
EP - 463
LA - fre
UR - http://eudml.org/doc/109709
ER -

References

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  1. [1] M. Eichler - Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion. Archiv der Math., 5 (1954), 355-366. Zbl0059.03804MR63406
  2. [2] A. Grothendieck - Formule de Lefschetz et rationalité des fonctionsL. Sém. Bourbaki, 17e année, 1964-65, Exp. 279. Zbl0199.24802
  3. [3] S. Koizumi and G. Shimura - On specializations of abelian varieties. Sci. Papers Coll. Gen. Ed. Univ. Tokyo9 (1959), 187-211. Zbl0107.14801MR116017
  4. [4] M. Kuga - Fibre varieties over a symmetric space whose fibres are abelian varieties. Lecture Notes, Univ. of Chicago, 1963-64. 
  5. [5] M. Kuga - Fibre varieties over a symmetric space whose fibres are abelian varieties. Proc. Symp. Pure Math.9, A.M.S., Providence R.I., 1966. Zbl0173.48902MR206168
  6. [6] M. Kuga and G. Shimura - On the zeta function of a fibre variety whose fibres are abelian varieties. Annals of Math.(2) 82 (1965), 478-539. Zbl0166.16801MR184942
  7. [7] G. Shimura - Correspondances modulaires et les fonctions ζ des courbes algébriques. J. Math. Soc. Japan10(1958), 1-28. Zbl0081.07603
  8. [8] G. Shimura - Modules de variétés abéliennes polarisées et fonctions modulaires III. Sém. E.N.S.1957-58, Exp. 20. 
  9. [9] G. Shimura - Fonctions automorphes et correspondances modulaires. Proc. Int. Congress Math. Edimburgh1958, Cambridge Univ. Press, p. 330-338. Zbl0121.30602MR117230
  10. [10] G. Shimura - On the theory of automorphic functions. Annals of Math. (2) 70(1959), 101-144. Zbl0101.05701MR107645
  11. [11] G. Shimura - On the zeta-functions of curves uniformized by certain automorphic functions. J. Math. Soc. Japan13(1961), 275-331. Zbl0218.14013MR142515
  12. [12] G. Shimura - On Dirichlet series and abelian varieties attached to automorphic forms. Annals of Math. (2) 76(1962), 237-294. Zbl0142.05501MR193071
  13. [13] G. Shimura - The zeta-function of an algebraic variety and automorphic functions. Summer Institute on algebraic geometry, Woodshole1964, (Notes) 
  14. [14] G. Shimura - On the field of definition for a field of automorphic functions II. Annals of Math. (2) 81(1965), 124-165. Zbl0222.14026MR171783
  15. [15] G. Shimura - Moduli of abelian varieties and number theory. Proc. Symp. pur. Math.9, A.M.S.Providence R.I. 1966. Zbl0167.19101MR237507
  16. [16] G. Shimura and Y. Taniyama - Complex multiplication of abelian varieties and its applicationsto number theory. Publ. Math. Soc. Japan6 (1961). Zbl0112.03502MR125113
  17. [17] J.-L. Verdier - Sur les intégrales attachées aux formes automorphes. Sém. Bourbaki 13e année, 1960-1961, Exp. 216. Zbl0173.09401
  18. [18] A. Weil - Variétés abéhiennes et courbes algébriques. Act. Sci. Ind.1064, Hermann éd., Paris1948. Zbl0208.49202MR29522

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