Jacques-Arthur Weil

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All published works

Action	Title	Year	Authors
+	Calcul formel pour les équations différentielles linéaires	2024	Jacques-Arthur Weil
+	Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	2023	Primitivo B. Acosta-Humánez Moulay A. Barkatou Raquel Sánchez-Cauce Jacques-Arthur Weil
+ PDF Chat	Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	2023	Primitivo B. Acosta-Humánez Moulay A. Barkatou Raquel Sánchez-Cauce Jacques-Arthur Weil
+ PDF Chat	Computing the Lie algebra of the differential Galois group: The reducible case	2022	Thomas Dreyfus Jacques-Arthur Weil
+ PDF Chat	Differential Galois Theory and Integration	2021	Thomas Dreyfus Jacques-Arthur Weil
+ PDF Chat	Differential Galois Theory and Integration	2021	Thomas Dreyfus Jacques-Arthur Weil
+ PDF Chat	Differential Galois Theory and Integration	2021	Thomas Dreyfus Jacques-Arthur Weil
+ PDF Chat	Differential Galois Theory and Integration	2021	Thomas Dreyfus Jacques-Arthur Weil
+	Differential Galois Theory and Integration	2021	Thomas Dreyfus Jacques-Arthur Weil
+	Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	2021	Primitivo B. Acosta-Humánez Moulay A. Barkatou Raquel Sánchez-Cauce Jacques-Arthur Weil
+ PDF Chat	Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz	2020	Moulay A. Barkatou Thomas Cluzeau Lucia Di Vizio Jacques-Arthur Weil
+	Computing the Lie algebra of the differential Galois group: the reducible case	2019	Thomas Dreyfus Jacques-Arthur Weil
+ PDF Chat	Galoisian methods for testing irreducibility of order two nonlinear differential equations	2018	Guy Casale Jacques-Arthur Weil
+ PDF Chat	Differential Galois Theory and Lie Symmetries	2015	David Blázquez-Sanz Juan J. Morales-Ruiz Jacques-Arthur Weil
+ PDF Chat	Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields	2015	Alin Bostan Guillaume Chèze Thomas Cluzeau Jacques-Arthur Weil
+	Liouville integrability: an effective Morales-Ramis-Sim\'o theorem	2015	Ainhoa Aparicio-Monforte Thomas Dreyfus Jacques-Arthur Weil
+ PDF Chat	Differential algebra on lattice green and calabi-yau operators	2014	S. Boukraa S. Hassani J.-M. Maillard Jacques-Arthur Weil
+	Méthodes effectives en théorie de Galois différentielle et applications à l'intégrabilité de systèmes dynamiques	2013	Jacques-Arthur Weil
+	Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)	2013	S. Boukraa Saoud Hassani J.-M. Maillard Jacques-Arthur Weil
+	Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)	2013	S. Boukraa Saoud Hassani J.-M. Maillard Jacques-Arthur Weil
+	Efficient Algorithms for Computing Rational First Integrals and Darboux Polynomials of Planar Polynomial Vector Fields	2013	Alin Bostan Guillaume Chèze Thomas Cluzeau Jacques-Arthur Weil
+ PDF Chat	A characterization of reduced forms of linear differential systems	2012	Ainhoa Aparicio-Monforte Élie Compoint Jacques-Arthur Weil
+	A Characterization of Reduced Forms of Linear Differential Systems	2012	Ainhoa Aparicio-Monforte Élie Compoint Jacques-Arthur Weil
+	A Characterization of Reduced Forms of Linear Differential Systems	2012	Ainhoa Aparicio-Monforte Élie Compoint Jacques-Arthur Weil
+	A reduced form for linear differential systems and its application to integrability of Hamiltonian systems	2011	Ainhoa Aparicio-Monforte Jacques-Arthur Weil
+	Formal first integrals along solutions of differential systems I	2011	Ainhoa Aparicio-Monforte Moulay A. Barkatou Sergi Simón Jacques-Arthur Weil
+ PDF Chat	Galoisian approach to integrability of Schrödinger equation	2011	Primitivo B. Acosta-Humánez Juan J. Morales-Ruiz Jacques-Arthur Weil
+ PDF Chat	A reduction method for higher order variational equations of Hamiltonian systems	2011	Ainhoa Aparicio-Monforte Jacques-Arthur Weil
+ PDF Chat	The Ising model: from elliptic curves to modular forms and Calabi-Yau equations	2010	Alin Bostan S. Boukraa S Hassani Mark van Hoeij J.-M. Maillard Jacques-Arthur Weil N Zenine
+	Galoisian Approach to integrability of Schr\"odinger Equation	2010	Primitivo B. Acosta-Humánez Juan J. Morales-Ruiz Jacques-Arthur Weil
+ PDF Chat	Effective descent for differential operators	2010	Élie Compoint Marius van der Put Jacques-Arthur Weil
+ PDF Chat	Effective descent for differential operators	2010	Élie Compoint Marius van der Put Jacques-Arthur Weil
+	Effective descent for differential operators	2010	Élie Compoint Marius van der Put Jacques-Arthur Weil
+	Galoisian Approach to integrability of Schrödinger Equation	2010	Primitivo B. Acosta-Humánez Juan J. Morales-Ruiz Jacques-Arthur Weil
+	A Reduced Form for Linear Differential Systems and its Application to Integrability of Hamiltonian Systems	2009	Ainhoa Aparicio Monforte Jacques-Arthur Weil
+	Galoisian Approach to Supersymmetric Quantum Mechanics Joint work with	2009	José Juan Jacques-Arthur Weil Juan J. Morales-Ruiz
+	Some methods to solve linear differential equations in closed form	2009	Félix Ulmer Jacques-Arthur Weil
+	A Reduced Form for Linear Differential Systems and its Application to Integrability of Hamiltonian Systems	2009	Ainhoa Aparicio Monforte Jacques-Arthur Weil
+ PDF Chat	About the non-integrability in the Friedmann-Robertson-Walker cosmological model	2007	Delphine Boucher Jacques-Arthur Weil
+ PDF Chat	Linear Differential Equations, Differential Galois Groups, First Integrals of Differential Systems	2007	Delphine Boucher Jacques-Arthur Weil
+	Factoring Partial Differential Systems in Positive Characteristic	2006	Moulay A. Barkatou Thomas Cluzeau Jacques-Arthur Weil
+	Solving Second Order Differential Equations with Klein's Theorem	2005	Jacques-Arthur Weil Mark van Hoeij
+	Recent Algorithms for Solving Second-Order Dierential Equations	2003	Jacques-Arthur Weil
+	New Results - Algorithms for solving partial differential equations	2003	Manuel Bronstein José-Luis Martins Jacques-Arthur Weil Min Wu
+	New Results - Algorithmes pour les équations linéaires ordinaires	2002	Raphaël Bomboy Manuel Bronstein Amit Gupta Alban Quadrat Jacques-Arthur Weil
+	Liouvillian Solutions of Linear Differential Equations of Order Three and Higher	1999	Mark van Hoeij Jean-François Ragot Félix Ulmer Jacques-Arthur Weil
+	An algorithm for computing invariants of differential Galois groups	1997	Mark van Hoeij Jacques-Arthur Weil
+	On symmetric powers of differential operators	1997	Manuel Bronstein Thom Mulders Jacques-Arthur Weil
+	First integrals and Darboux polynomials of homogeneous linear differential systems	1995	Jacques-Arthur Weil
+	Constantes et polynomes de darboux en algebre differentielle : application aux systemes differentiels lineaires	1995	Jacques-Arthur Weil
+	The use of the special semi-groups for solving differential equations	1994	Jacques-Arthur Weil

Common Coauthors

Coauthor	Papers Together
Thomas Dreyfus	8
Ainhoa Aparicio-Monforte	7
Primitivo B. Acosta-Humánez	6
Moulay A. Barkatou	6
Élie Compoint	6
Juan J. Morales-Ruiz	5
S. Boukraa	4
J.-M. Maillard	4
Mark van Hoeij	4
Marius van der Put	3
Manuel Bronstein	3
Alin Bostan	3
Thomas Cluzeau	3
Raquel Sánchez-Cauce	3
Guillaume Chèze	2
Saoud Hassani	2
Delphine Boucher	2
Félix Ulmer	2
Ainhoa Aparicio Monforte	2
S. Hassani	1
David Blázquez-Sanz	1
Min Wu	1
Thom Mulders	1
Lucia Di Vizio	1
Sergi Simón	1
Guy Casale	1
N Zenine	1
José-Luis Martins	1
Jean-François Ragot	1
Raphaël Bomboy	1
Samy Hassani	1
Thomas Cluzeau	1
Alban Quadrat	1
Amit Gupta	1
José Juan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An algorithm for solving second order linear homogeneous differential equations	1986	J. Kovacic	14
+	Liouvillian and Algebraic Solutions of Second and Third Order Linear Differential Equations	1993	Michael F. Singer Félix Ulmer	10
+	Testing reducibility of linear differential operators: A group theoretic perspective	1996	Michael F. Singer	9
+	A reduced form for linear differential systems and its application to integrability of Hamiltonian systems	2011	Ainhoa Aparicio-Monforte Jacques-Arthur Weil	8
+ PDF Chat	Integrability of Hamiltonian systems and differential Galois groups of higher variational equations	2007	Juan J. Morales-Ruiz Jean-Pierre Ramis Carles Simö	8
+ PDF Chat	A characterization of reduced forms of linear differential systems	2012	Ainhoa Aparicio-Monforte Élie Compoint Jacques-Arthur Weil	8
+	Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations	1981	Michael F. Singer	7
+	Computing closed form solutions of integrable connections	2012	Moulay A. Barkatou Thomas Cluzeau Carole El Bacha J-A Weil	7
+	Lie Algebraic Solution of Linear Differential Equations	1963	James Cheng‐Chung Wei Edward Norman	7
+	Calculating the Galois group of L1(L2(y))=0,L1,L2 completely reducible operators	1999	Peter Berman Michael F. Singer	7
+	Differential Algebra and Algebraic Groups	2012	E. R. Kolchin	6
+	Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients	1991	Michael F. Singer	6
+	Linear differential equations and products of linear forms	1997	Michael F. Singer Félix Ulmer	6
+ PDF Chat	Galoisian obstructions to integrability of Hamiltonian systems	2001	Juan J. Morales-Ruiz Jean Pierre Ramis	6
+ PDF Chat	On global representations of the solutions of linear differential equations as a product of exponentials	1964	James Cheng‐Chung Wei Edward Norman	6
+ PDF Chat	Solving Linear Differential Equations	2010	K. A. Nguyen Marius van der Put	5
+	Liouvillian Solutions of Linear Differential Equations of Order Three and Higher	1999	Mark van Hoeij Jean-François Ragot Félix Ulmer Jacques-Arthur Weil	5
+	An algorithm for computing invariants of differential Galois groups	1997	Mark van Hoeij Jacques-Arthur Weil	5
+ PDF Chat	Solvable-by-finite groups as differential Galois groups	2002	Claude Mitschi Michael F. Singer	5
+	Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics. I	1983	S. L. Ziglin	5
+	First integrals and Darboux polynomials of homogeneous linear differential systems	1995	Jacques-Arthur Weil	5
+	Computing the Galois group of a linear differential equation	2002	Ehud Hrushovski	5
+ PDF Chat	A reduction method for higher order variational equations of Hamiltonian systems	2011	Ainhoa Aparicio-Monforte Jacques-Arthur Weil	5
+	Liouville integrability: An effective Morales–Ramis–Simó theorem	2015	Ainhoa Aparicio-Monforte Tommy Dreyfus J-A Weil	5
+	Calculating the Galois Group of Y′===AY+++B,Y′===AY Completely Reducible	2002	Peter Berman	4
+	Factorization of Differential Operators with Rational Functions Coefficients	1997	Mark van Hoeij	4
+	On second order homogeneous linear differential equations with Liouvillian solutions	1997	Winfried Fakler	4
+ PDF Chat	Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz	2020	Moulay A. Barkatou Thomas Cluzeau Lucia Di Vizio Jacques-Arthur Weil	4
+ PDF Chat	The Ising model: from elliptic curves to modular forms and Calabi–Yau equations	2011	Alin Bostan S. Boukraa S Hassani Mark van Hoeij J-M Maillard J-A Weil N Zenine	4
+ PDF Chat	Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras	2007	Claus Fieker Willem A. de Graaf	4
+	Rational solutions of the mixed differential equation and its application to factorization of differential operators	1996	Mark van Hoeij	4
+	Computing Galois Groups of Completely Reducible Differential Equations	1999	Élie Compoint Michael F. Singer	4
+	Absolute reducibility of differential operators and Galois groups	2004	Élie Compoint J-A Weil	4
+	Around the numeric–symbolic computation of differential Galois groups	2006	Joris van der Hoeven	4
+	An algorithm for computing a companion block diagonal form for a system of linear differential equations	1993	M. A. Barkatou	3
+ PDF Chat	Symmetries and Related Topics in Differential and Difference Equations	2011	David Blázquez-Sanz Juan J. Morales-Ruiz JesÃos Lombardero	3
+ PDF Chat	A conjecture in the arithmetic theory of differential equations	1982	Nicholas M. Katz	3
+ PDF Chat	Galoisian methods for testing irreducibility of order two nonlinear differential equations	2018	Guy Casale Jacques-Arthur Weil	3
+ PDF Chat	Lattice Green functions of the higher-dimensional face-centered cubic lattices	2013	Christoph Koutschan	3
+ PDF Chat	Algebraic proof of the non-integrability of Hill's problem	2005	Juan J. Morales-Ruiz Carles Simö Sergi Simón	3
+ PDF Chat	Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups	2015	S. Boukraa S. Hassani J-M Maillard J-A Weil	3
+	Solving third order linear differential equations in terms of second order equations	2007	Mark van Hoeij	3
+ PDF Chat	Galoisian obstructions to non-Hamiltonian integrability	2010	Michaël Ayoul Nguyen Tien Zung	3
+	Hrushovski's algorithm for computing the Galois group of a linear differential equation	2015	Ruyong Feng	3
+ PDF Chat	Swinging Atwood Machine: Experimental and numerical results, and a theoretical study	2010	Olivier Pujol J.M. Sánchez-Pérez Jean Pierre Ramis Carles Simö Sergi Simón J-A Weil	3
+	Schur-Cohn Sub-transforms of a Polynomial	1993	M.Ph.Saux Picart	3
+	Differential algebra on lattice Green functions and Calabi–Yau operators	2014	S. Boukraa S. Hassani J-M Maillard J-A Weil	3
+	An introduction to differential algebra	1957	Irving Kaplansky	3
+	Galois Action on Solutions of a Differential Equation	1995	Petra Hendriks Marius van der Put	3
+	Differential Galois Theory	1992	Frits Beukers	3