Au sujet de l'algorithme « de Coates »

Dominique Duval

Publications mathématiques et informatique de Rennes (1985)

  • Volume: 4, Issue: 4, page 196-206

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Duval, Dominique. "Au sujet de l'algorithme « de Coates »." Publications mathématiques et informatique de Rennes 4.4 (1985): 196-206. <http://eudml.org/doc/273895>.

@article{Duval1985,
author = {Duval, Dominique},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {divisor on a curve; Hurwitz formula; Puiseux expansion; Coates' algorithm; integral basis; Ford/Zassenhaus algorithm},
language = {fre},
number = {4},
pages = {196-206},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Au sujet de l'algorithme « de Coates »},
url = {http://eudml.org/doc/273895},
volume = {4},
year = {1985},
}

TY - JOUR
AU - Duval, Dominique
TI - Au sujet de l'algorithme « de Coates »
JO - Publications mathématiques et informatique de Rennes
PY - 1985
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 4
IS - 4
SP - 196
EP - 206
LA - fre
KW - divisor on a curve; Hurwitz formula; Puiseux expansion; Coates' algorithm; integral basis; Ford/Zassenhaus algorithm
UR - http://eudml.org/doc/273895
ER -

References

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  1. [Ar] J.V. Armitage, Algebraic functions and an analogue of the geometry of numbers: the Riemann-Roch theorem. Arch. Math. (Basel), vol. 18 (1967), pp. 383-393. Zbl0156.41102MR224593
  2. [Bl] G. A. Bliss, Algebraic functions. Ann. Math. Soc. Colloquium Publ. Vol. 16 (1933). Zbl0008.21004
  3. [Co] J. Coates, Construction of rational functions on a curve. Proc. Camb. Phil. Soc.68 (1970), pp. 105-123. Zbl0215.37302MR258831
  4. [Da] J. H. Davenport, On the integration of algebraic functions. Lecture notes in computer science n° 102 (1981), Springer-Verlag. Zbl0471.14009MR617377
  5. [Du] D. Duval, Une méthode géométrique de factorisation des polynomes en deux indéterminées. Calsyf n°3 (1983). 
  6. [Du 2] D. Duval, en préparation. 
  7. [D-W] E. Dedeking, H. Weber, Theorie der algebraischen Funktionen einer Veränderlichen. J. für reine und angewandte Math. Bd.92 (1882), pp. 181-290. JFM14.0352.01
  8. [D5] J. Della Dora, C. Dicrescenzo, D. Duval, About a new method for Computing in algebraic number fields. Proceedings of EUROCAL 85, Lecture notes in Computer Sc., Springer Verlag (1985), à paraitre. 
  9. [Fu] W. Fulton, Algebraic Curves. Benjamin Inc. (1969). Zbl0681.14011MR313252
  10. [Ma] D. Maurer, Der Algorithmus von Coates. Diplomarbeit, Universität des Saarlandes (1982). 
  11. [Ri] R.H. Risch, The solution of the problem of integration in finite terms. Bull. A.M.S. n°76 (1970), pp. 605-608. Zbl0196.06801MR269635
  12. [Se] J.-P. Serre, Corps locaux. Hermann (1968). MR354618
  13. [Tr] B. Trager, Thesis MIT (1985). 

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