Algorithmic Number Theory: Efficient Algorithms, 1996. ,
Algebraic functions, 1933. ,
DOI : 10.1090/coll/016
The Magma Algebra System I: The User Language, Journal of Symbolic Computation, vol.24, issue.3-4, pp.3-4, 1997. ,
DOI : 10.1006/jsco.1996.0125
Differential equations for algebraic functions, Proceedings of the 2007 international symposium on Symbolic and algebraic computation , ISSAC '07, pp.25-32, 2007. ,
DOI : 10.1145/1277548.1277553
URL : https://hal.archives-ouvertes.fr/inria-00138206
Integration of elementary functions, Journal of Symbolic Computation, vol.9, issue.2, pp.117-173, 1990. ,
DOI : 10.1016/S0747-7171(08)80027-2
Algebroid Curves in Positive Characteristic, LNCS, vol.813, 1980. ,
DOI : 10.1007/BFb0090823
Introduction to the Theory of Algebraic Functions of One Variable, of Mathematical Surveys, 1951. ,
DOI : 10.1090/surv/006
On expansion of algebraic functions in power and Puiseux series, I, Journal of Complexity, vol.2, issue.4, pp.271-294, 1986. ,
DOI : 10.1016/0885-064X(86)90006-3
On expansion of algebraic functions in power and Puiseux series, II, Journal of Complexity, vol.3, issue.1, pp.1-25, 1987. ,
DOI : 10.1016/0885-064X(87)90002-1
A Course in Computational Algebraic Number Theory, 1993. ,
DOI : 10.1007/978-3-662-02945-9
Puiseux's theorem revisited, Journal of Pure and Applied Algebra, vol.31, issue.1-3, pp.1-4, 1984. ,
DOI : 10.1016/0022-4049(84)90070-7
Calcul pratique des coefficients de Taylor d'une fonction algébrique, Enseignement Mathématique, vol.2, issue.10, pp.267-270, 1964. ,
Computing the Abel map, Physica D: Nonlinear Phenomena, vol.237, issue.24, pp.3214-3232, 2008. ,
DOI : 10.1016/j.physd.2008.08.007
Computing Riemann Matrices of Algebraic Curves. Phys, pp.28-46, 2001. ,
About a New Method for Computing in Algebraic Number Fields, 1985. ,
Determining Puiseux Expansions by Hensel's Lemma and Dynamic Evaluation, Computer Algebra in Scientific Computing, 2002. ,
Absolute Factorization of Polynomials: A Geometric Approach, SIAM Journal on Computing, vol.20, issue.1, pp.1-21, 1991. ,
DOI : 10.1137/0220001
On natural radii of p-adic convergence, Trans. Amer. Math. Soc, vol.256, pp.199-213, 1979. ,
Introduction to the Theory of Algebraic Numbers and Functions, 1966. ,
Computing GCDs of Polynomials over Algebraic Number Fields, Journal of Symbolic Computation, vol.20, issue.3, pp.299-313, 1995. ,
DOI : 10.1006/jsco.1995.1052
Lectures on Riemann Surfaces, Graduate Text in Mathematics, vol.81, 1981. ,
DOI : 10.1007/978-1-4612-5961-9
Hurwitz Schemes and Irreducibility of Moduli of Algebraic Curves, The Annals of Mathematics, vol.90, issue.3, pp.542-575, 1969. ,
DOI : 10.2307/1970748
Complexity of computation of embedded resolution of algebraic curves, Proceedings Eurocal 87. No. 378 in Lecture Notes in Computer Science, pp.381-390, 1987. ,
DOI : 10.1007/3-540-51517-8_143
All Algebraic Functions Can Be Computed Fast, Journal of the ACM, vol.25, issue.2, pp.245-260, 1978. ,
DOI : 10.1145/322063.322068
URL : http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA032345&Location=U2&doc=GetTRDoc.pdf
Algebraic Curves and Riemann Surfaces, Graduate Studies in Mathematics, vol.5, 1995. ,
DOI : 10.1090/gsm/005
Computing Monodromy Groups Defined by Plane Algebraic Curves, Proceedings of the 2007 International Workshop on Symbolic-Numeric Computation, pp.36-45, 2007. ,
Calcul de développements de puiseux et application au calcul de groupe de monodromie d'une courbe algébrique plane, 2008. ,
Good reduction of puiseux series and complexity of the Newton-Puiseux algorithm over finite fields, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, ISSAC '08, pp.239-246, 2008. ,
DOI : 10.1145/1390768.1390802
URL : https://hal.archives-ouvertes.fr/hal-00320600
Complexity bounds for the rational Newton-Puiseux algorithm over finite fields, Applicable Algebra in Engineering, Communication and Computing, vol.69, issue.1???2, 2009. ,
DOI : 10.1007/s00200-011-0144-6
URL : https://hal.archives-ouvertes.fr/hal-00601438
A Course in p-adic Analysis, of Graduate Texts in Mathematics, 2000. ,
DOI : 10.1007/978-1-4757-3254-2
Hensel Construction of f (x, u 1 , . . . , u l ) at a Singular Point and its Application, Sigsam Bulletin, vol.1, pp.9-17, 2000. ,
A Computational Introduction to Number Theory, 2005. ,
Integration of Algebraic Functions Fast Evaluation of Holonomic Functions, Theoretical Computer Science, vol.210, issue.1, pp.199-215, 1984. ,
Effective analytic functions, Journal of Symbolic Computation, vol.39, issue.3-4, pp.433-449, 2005. ,
DOI : 10.1016/j.jsc.2004.11.012
An Algorithm for Computing an Integral Basis in an Algebraic Function Field, Journal of Symbolic Computation, vol.18, issue.4, pp.353-363, 1994. ,
DOI : 10.1006/jsco.1994.1051
Rational Parametrizations of Algebraic Curves using a Canonical Divisor, Journal of Symbolic Computation, vol.23, issue.2-3, pp.209-227, 1997. ,
DOI : 10.1006/jsco.1996.0084
Modern Computer Algebra, 1999. ,
DOI : 10.1017/CBO9781139856065
Algebraic Curves, 1950. ,
On the complexity of rational Puiseux expansions, Pacific Journal of Mathematics, vol.188, issue.2, pp.369-387, 1999. ,
DOI : 10.2140/pjm.1999.188.369
A polynomial-time complexity bound for the computation of the singular part of a Puiseux expansion of an algebraic function, Mathematics of Computation, vol.69, issue.231, pp.1167-1182, 2000. ,
DOI : 10.1090/S0025-5718-00-01246-1
Factoring Polynomials Over Algebraic Number Fields, ACM Transactions on Mathematical Software, vol.2, issue.4, pp.335-350, 1976. ,
DOI : 10.1145/355705.355709
Leprobì eme des modules pour les branches planes, 1981. ,