Primitives des fonctions élémentaires

Daniel Lazard

Séminaire Bourbaki (1983-1984)

  • Volume: 26, page 295-308
  • ISSN: 0303-1179

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Lazard, Daniel. "Primitives des fonctions élémentaires." Séminaire Bourbaki 26 (1983-1984): 295-308. <http://eudml.org/doc/110031>.

@article{Lazard1983-1984,
author = {Lazard, Daniel},
journal = {Séminaire Bourbaki},
keywords = {elementary functions; differential fields; algebraic curve; divisor; algorithmic integration in finite terms; algorithms; transcendental functions; algebraic functions},
language = {fre},
pages = {295-308},
publisher = {Société Mathématique de France},
title = {Primitives des fonctions élémentaires},
url = {http://eudml.org/doc/110031},
volume = {26},
year = {1983-1984},
}

TY - JOUR
AU - Lazard, Daniel
TI - Primitives des fonctions élémentaires
JO - Séminaire Bourbaki
PY - 1983-1984
PB - Société Mathématique de France
VL - 26
SP - 295
EP - 308
LA - fre
KW - elementary functions; differential fields; algebraic curve; divisor; algorithmic integration in finite terms; algorithms; transcendental functions; algebraic functions
UR - http://eudml.org/doc/110031
ER -

References

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  1. J. Coates - Construction of Rational Functions on a Curve. Proc. Cam. Phil. Soc.68 (1970) pp. 105-123. Zbl0215.37302MR258831
  2. J.H. Davenport - On the integration of algebraic functions. Lecture Notes in Computer Science n° 102, Springer Verlag, 1981. Zbl0471.14009MR617377
  3. J.H. Davenport - Intégration algorithmique des fonctions élémentairement transcendantes sur une courbe algébrique. Annales de l'Institut Fourier34(1984). Zbl0506.34002MR746504
  4. J.H. Davenport - The Risch differential equation problem. Soumis à Siam J. of Computation. Zbl0632.65091MR861358
  5. J.H. Davenport - y'+fy=g. Congrès EUROSAM (Cambridge, 1984). A paraître aux Lect. Notes in Computer Science. Zbl0588.68013MR779139
  6. J.H. Davenport et al. - New Scratchpad (IBM Research Center, Yorktown Heights, 1984) 
  7. C. Dicrescenzo, D. Duval - Computations on Curves - Congrès EUROSAM (cf. supra). Zbl0553.14008
  8. D. Duval - Une méthode géométrique de factorisation des polynômes en deux indéterminées. Journées de Calcul Formel (Luming 1983) CALSYF 3 (Mignotte, Université de Strasbourg). 
  9. R.D. Jenks - A Scratchpad primer : 11 heys to Scratchpad Congrès EUROSAM (Cambridge1984) - A paraître aux Lect. Notes in Computer Science. 
  10. R. Kannan, A. Bachen - Polynomial algorithms for computing the Smith and Hermite normal form of an integer matrix. Siam J. Computation8(1979) p. 499.507. Zbl0446.65015MR573842
  11. J. Liouville - Premier et second mémoire sur la détermination des intégrales dont la valeur est algébrique. Journal de l'Ecole Polytechnique14(1833) cahier 22 p. 124-143. 
  12. Ju.I. Manin - Algebraic curves over Fields with Differentiation. Izv. Akad. Nauk. SSSR Ser. Mat22(1958) pp. 737-756. (translated in AMS Trans. Ser.237(1964) pp. 59-78). Zbl0151.27601MR103889
  13. Ju.I. Manin - Rational Points of Algebraic Curves over Function Fields. Izv. Akad. Nauk. SSSR Ser. Mat.27(1963) pp. 1395-1440 (translated in AMS Trans. Ser.250(1966) pp. 189-234). Zbl0178.55102MR157971
  14. B. Mazur - Rational Isogenies of Prime Degree. Inventiones Math.44(1978) pp. 129- 162. Zbl0386.14009MR482230
  15. R.H. Risch - The Problem of Integration in Finite Terms. Trans. A.M.S.139(1969) PP. 167-189. Zbl0184.06702MR237477
  16. R.H. Risch - The solution of the Problem of Integration in Finite Terms. Bulletin AMS76(1970) pp. 605-608. Zbl0196.06801MR269635
  17. J.P. Serre, J.T. Tate - Good Reduction of Abelian Varieties. Annals of Mathematics88(1968) pp. 492-517. Zbl0172.46101MR236190

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