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Author ID: petitot.michel Recent zbMATH articles by "Petitot, Michel"
Published as: Petitot, Michel; Petitot, M.
Documents Indexed: 22 Publications since 1991
Co-Authors: 20 Co-Authors with 21 Joint Publications
457 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

18 Publications have been cited 261 times in 212 Documents Cited by Year
Representation for the radical of a finitely generated differential ideal. Zbl 0911.13011
Boulier, F.; Lazard, D.; Ollivier, F.; Petitot, M.
78
1995
Computing representations for radicals of finitely generated differential ideals. Zbl 1185.12003
Boulier, François; Lazard, Daniel; Ollivier, François; Petitot, Michel
38
2009
Lyndon words, polylogarithms and the Riemann \(\zeta\) function. Zbl 0959.68144
Hoang Ngoc Minh; Petitot, Michel
34
2000
The geometry of the equation \(y'''=f(x,y,y',y'')\). (La géométrie de l’équation \(y'''=f(x,y,y',y'')\).) Zbl 1016.34007
Neut, Sylvain; Petitot, Michel
27
2002
Shuffle algebra and polylogarithms. Zbl 0965.68129
Hoang Ngoc Minh; Petitot, Michel; Van der Hoeven, Joris
19
2000
On anisotropic polynomial relations for the elasticity tensor. Zbl 1410.74004
Auffray, N.; Kolev, B.; Petitot, M.
16
2014
From the algebras of Riemann polyzetas to the algebra of Hurwitz polyzetas. (De l’algèbre des \(\zeta\) de Riemann multivariées à l’algèbre des \(\zeta\) de Hurwitz multivariées.) Zbl 1035.11039
Hoang Ngoc Minh; Jacob, Gérard; Petitot, Michel; Oussous, Nour Eddine
11
2000
Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables. Zbl 1014.68126
Bigotte, M.; Jacob, G.; Oussous, N. E.; Petitot, M.
11
2002
Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d’Euler-Zagier.) Zbl 0964.33003
Hoang Ngoc Minh; Jacob, Gérad; Petitot, Michel; Oussous, Nour Eddine
10
1999
Computation of the monodromy of generalized polylogarithms. Zbl 0920.11084
Hoang Ngoc Minh; Petitot, Michel; Van der Hoeven, Joris
4
1998
Structure and asymptotic expansion of multiple harmonic sums. Zbl 1360.11086
Costermans, C.; Enjalbert, J. Y.; Minh, Hoang Ngoc; Petitot, M.
4
2005
Élie Cartan’s geometrical vision or how to avoid expression swell. Zbl 1161.65054
Neut, Sylvain; Petitot, Michel; Dridi, Raouf
3
2009
Scratchpad implementation of the local minimal realization of dynamic systems. Zbl 0793.93061
Oussous, N. E.; Petitot, M.
1
1991
Computer algebra for the motion-planning problem. Zbl 0925.93402
Oussous, N. E.; Petitot, M.
1
1994
Maple package for noncommutative rational power series. Zbl 1195.11165
Houseaux, V.; Jacob, G.; Oussous, N. E.; Petitot, M.
1
2003
xtaylor: an algorithm for noncommutative polynomials. (xtaylor: Un algorithm pour les polynômes non commutatifs.) Zbl 1061.17005
Oussous, Nour-Eddine; Petitot, Michel
1
2003
New classification techniques for ordinary differential equations. Zbl 1177.34001
Dridi, Raouf; Petitot, Michel
1
2009
Generalized transvectants and Siegel modular forms. Zbl 1221.11117
Olver, P. J.; Petitot, M.; Solé, P.
1
2007
On anisotropic polynomial relations for the elasticity tensor. Zbl 1410.74004
Auffray, N.; Kolev, B.; Petitot, M.
16
2014
Computing representations for radicals of finitely generated differential ideals. Zbl 1185.12003
Boulier, François; Lazard, Daniel; Ollivier, François; Petitot, Michel
38
2009
Élie Cartan’s geometrical vision or how to avoid expression swell. Zbl 1161.65054
Neut, Sylvain; Petitot, Michel; Dridi, Raouf
3
2009
New classification techniques for ordinary differential equations. Zbl 1177.34001
Dridi, Raouf; Petitot, Michel
1
2009
Generalized transvectants and Siegel modular forms. Zbl 1221.11117
Olver, P. J.; Petitot, M.; Solé, P.
1
2007
Structure and asymptotic expansion of multiple harmonic sums. Zbl 1360.11086
Costermans, C.; Enjalbert, J. Y.; Minh, Hoang Ngoc; Petitot, M.
4
2005
Maple package for noncommutative rational power series. Zbl 1195.11165
Houseaux, V.; Jacob, G.; Oussous, N. E.; Petitot, M.
1
2003
xtaylor: an algorithm for noncommutative polynomials. (xtaylor: Un algorithm pour les polynômes non commutatifs.) Zbl 1061.17005
Oussous, Nour-Eddine; Petitot, Michel
1
2003
The geometry of the equation \(y'''=f(x,y,y',y'')\). (La géométrie de l’équation \(y'''=f(x,y,y',y'')\).) Zbl 1016.34007
Neut, Sylvain; Petitot, Michel
27
2002
Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables. Zbl 1014.68126
Bigotte, M.; Jacob, G.; Oussous, N. E.; Petitot, M.
11
2002
Lyndon words, polylogarithms and the Riemann \(\zeta\) function. Zbl 0959.68144
Hoang Ngoc Minh; Petitot, Michel
34
2000
Shuffle algebra and polylogarithms. Zbl 0965.68129
Hoang Ngoc Minh; Petitot, Michel; Van der Hoeven, Joris
19
2000
From the algebras of Riemann polyzetas to the algebra of Hurwitz polyzetas. (De l’algèbre des \(\zeta\) de Riemann multivariées à l’algèbre des \(\zeta\) de Hurwitz multivariées.) Zbl 1035.11039
Hoang Ngoc Minh; Jacob, Gérard; Petitot, Michel; Oussous, Nour Eddine
11
2000
Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d’Euler-Zagier.) Zbl 0964.33003
Hoang Ngoc Minh; Jacob, Gérad; Petitot, Michel; Oussous, Nour Eddine
10
1999
Computation of the monodromy of generalized polylogarithms. Zbl 0920.11084
Hoang Ngoc Minh; Petitot, Michel; Van der Hoeven, Joris
4
1998
Representation for the radical of a finitely generated differential ideal. Zbl 0911.13011
Boulier, F.; Lazard, D.; Ollivier, F.; Petitot, M.
78
1995
Computer algebra for the motion-planning problem. Zbl 0925.93402
Oussous, N. E.; Petitot, M.
1
1994
Scratchpad implementation of the local minimal realization of dynamic systems. Zbl 0793.93061
Oussous, N. E.; Petitot, M.
1
1991
all top 5

Cited by 259 Authors

9 Mahomed, Fazal M.
9 Ovchinnikov, Alexey Igorevich
8 Duchamp, Gerard Henry Edmond
8 Kondrat’eva, Marina Vladimirovna
8 Qadir, Asghar
7 Boulier, François
7 Hoang Ngoc Minh, Vincel
6 Gao, Xiaoshan
6 Hubert, Evelyne
6 Lemaire, François
6 Moreno Maza, Marc
6 Olive, Marc
6 Robertz, Daniel
6 Xu, Ce
5 Desmorat, Boris
5 Golubitsky, Oleg
5 Kolev, Boris
5 Lange-Hegermann, Markus
5 Meleshko, Sergey V.
4 Desmorat, Rodrigue
4 Dridi, Raouf
4 Petitot, Michel
3 Ablinger, Jakob
3 Bluman, George W.
3 Blümlein, Johannes
3 Bouillot, Olivier
3 Bradley, David M.
3 Chaolu, Temuer
3 Denis-Vidal, Lilianne
3 Enjalbert, Jean-Yves
3 Gerdt, Vladimir Petrovich
3 Guo, Li
3 Gustavson, Richard
3 Huang, S.-L. Tracy
3 Minh, V. Hoang Ngoc
3 Ollivier, François
3 Pogudin, Gleb A.
3 Reid, Gregory John
3 Sanders, Jan A.
3 Schneider, Carsten
3 Sedoglavic, Alexandre
3 Sendra, Juan Rafael
3 van der Hoeven, Joris
3 Verdière, Nathalie
3 Wang, Jingping
3 Yuan, Chunming
2 Ali, Sajid
2 Azad, Hassan
2 Bächler, Thomas
2 Boreale, Michele
2 Bowman, Douglas C.
2 Broadhurst, David John
2 Bui, Van Chiên
2 Cheb-Terrab, E. S.
2 D’Alfonso, Lisi
2 Dutt, Hina M.
2 Ecalle, Jean P.
2 Hashemi, Amir
2 Huang, Zhenyu
2 Ibragimov, Nail Hairullovich
2 Itin, Yakov
2 Jeronimo, Gabriela
2 Joly-Blanchard, Ghislaine
2 Lalín, Matilde Noemí
2 Lazard, Daniel
2 Li, Wei
2 Li, Ziming
2 Lisle, Ian G.
2 Margaria, Gabriella
2 Matsumoto, Kohji
2 Merker, Joël
2 Nakpim, Warisa
2 Neut, Sylvain
2 Placidi, Luca
2 Poteaux, Adrien
2 Riccomagno, Eva
2 Roche, A. D.
2 Rosenkranz, Markus
2 Scanlon, Thomas J.
2 Schwarz, Fritz
2 Solernó, Pablo
2 Suksern, Supaporn
2 Tollu, Christophe
2 Tsumura, Hirofumi
2 Weinzierl, Stefan
2 Xie, Bingyong
2 Yamamoto, Shuji
2 Zlobin, S. A.
2 Zobnin, Alexey I.
1 Abramian, S.
1 Al-Dweik, Ahmad Y.
1 Andreaus, Ugo A.
1 Aubry, Philippe
1 Auffray, Nicolas
1 Auffray, Nicole
1 Ayub, Muhammad
1 Bagderina, Yuliya Yur’evna
1 Barchiesi, Emilio
1 Basiri, Abdolali
1 Battista, Antonio
...and 159 more Authors
all top 5

Cited in 90 Serials

45 Journal of Symbolic Computation
6 Journal of Mathematical Analysis and Applications
6 Theoretical Computer Science
5 Computer Physics Communications
5 Journal of Engineering Mathematics
5 Journal of Mathematical Physics
5 Journal of Elasticity
4 Mathematics and Computers in Simulation
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal de Théorie des Nombres de Bordeaux
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Systems Science and Complexity
4 Mathematics in Computer Science
3 Journal of Algebra
3 Programming and Computer Software
3 Journal of Mathematical Sciences (New York)
3 Mathematics and Mechanics of Solids
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mathematical Biosciences
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Journal of Number Theory
2 Journal of Pure and Applied Algebra
2 Quaestiones Mathematicae
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Applicable Algebra in Engineering, Communication and Computing
2 Nonlinear Dynamics
2 Journal of Nonlinear Mathematical Physics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 Discrete Mathematics
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Acta Arithmetica
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Automatica
1 Journal of Combinatorial Theory. Series A
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Journal of Complexity
1 Information and Computation
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 International Journal of Mathematics
1 Multidimensional Systems and Signal Processing
1 Linear Algebra and its Applications
1 Continuum Mechanics and Thermodynamics
1 Journal of Algebraic Combinatorics
1 Journal of Lie Theory
1 Journal of Difference Equations and Applications
1 Documenta Mathematica
1 Mathematical Problems in Engineering
1 Séminaire Lotharingien de Combinatoire
1 The Ramanujan Journal
1 Differential Equations and Dynamical Systems
1 Vietnam Journal of Mathematics
1 Journal of Applied Mechanics and Technical Physics
1 Annals of Combinatorics
1 Journal of High Energy Physics
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 The European Physical Journal C. Particles and Fields
1 European Journal of Pure and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Confluentes Mathematici
1 International Journal of Combinatorics
1 Science China. Mathematics
1 Symmetry
1 ISRN Mathematical Analysis
1 Arabian Journal of Mathematics
1 Research in the Mathematical Sciences
1 Research in Number Theory
1 Cogent Mathematics & Statistics
all top 5

Cited in 41 Fields

58 Computer science (68-XX)
57 Number theory (11-XX)
49 Ordinary differential equations (34-XX)
46 Field theory and polynomials (12-XX)
33 Commutative algebra (13-XX)
28 Partial differential equations (35-XX)
22 Combinatorics (05-XX)
20 Special functions (33-XX)
14 Numerical analysis (65-XX)
14 Mechanics of deformable solids (74-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 Systems theory; control (93-XX)
8 Associative rings and algebras (16-XX)
8 Nonassociative rings and algebras (17-XX)
7 Algebraic geometry (14-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Sequences, series, summability (40-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Quantum theory (81-XX)
5 Topological groups, Lie groups (22-XX)
5 Differential geometry (53-XX)
4 Mechanics of particles and systems (70-XX)
4 Biology and other natural sciences (92-XX)
3 Mathematical logic and foundations (03-XX)
3 Several complex variables and analytic spaces (32-XX)
2 General and overarching topics; collections (00-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Probability theory and stochastic processes (60-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year