Linear differential operators for polynomial equations

DOI10.1006/jsco.2002.0564zbMath1030.12002OpenAlexW1998088789MaRDI QIDQ1864893

Barry M. Trager, Olivier Cormier, Felix Ulmer, Michael F. Singer

Publication date: 23 March 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2002.0564

zbMATH Keywords

Galois groupdifferential operatorgenusabsolute factorizationcomplex curve

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Differential algebra (12H05)

Related Items

Lifting and recombination techniques for absolute factorization, Comments on Integration of Algebraic Functions, Unnamed Item, Complexity bounds for the rational Newton-Puiseux algorithm over finite fields, Residues and telescopers for bivariate rational functions, Liouvillian solutions of third order differential equations, On 3-dimensional lattice walks confined to the positive octant, Counting walks with large steps in an orthant, Linear differential equations with finite differential Galois group, Computing Puiseux series: a fast divide and conquer algorithm, Explicit degree bounds for right factors of linear differential operators, Note on algebraic solutions of differential equations with known finite Galois group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On expansion of algebraic functions in power and Puiseux series. I
• On expansion of algebraic functions in power and Puiseux series. II
• On solutions of linear ordinary differential equations in their coefficient field
• Galois groups of second and third order linear differential equations
• Factorization of differential operators with rational functions coefficients
• An algorithm for computing an integral basis in an algebraic function field
• Effective Noether irreducibility forms and applications
• Polynomial algorithms in computer algebra
• Testing reducibility of linear differential operators: A group theoretic perspective
• Gröbner deformations of hypergeometric differential equations
• On rational solutions of systems of linear differential equations
• Calcul pratique des coefficients de Taylor d'une fonction algébrique
• Associative differential operations
• Computation of Galois groups over function fields
• The Computational Complexity of the Resolution of Plane Curve Singularities
• Absolute Factorization of Polynomials: A Geometric Approach
• Computing the Galois group of a polynomial using linear differential equations
• Algorithms in Algebraic Number Theory
• Factoring Rational Polynomials over the Complex Numbers
• On Transitive Permutation Groups
• Complexity of computation of embedded resolution of algebraic curves
• Endliche Gruppen I
• Special issue: Algorithmic methods in Galois theory
• Polynomial and rational solutions of holonomic systems