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Author ID: christol.gilles Recent zbMATH articles by "Christol, Gilles"
Published as: Christol, Gilles; Christol, G.
Homepage: https://webusers.imj-prg.fr/~gilles.christol/
External Links: MGP · Wikidata · dblp · IdRef · theses.fr
Member of Collective: Parent, D. P.

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 532 times in 308 Documents Cited by Year
Suites algébriques, automates et substitutions. Zbl 0472.10035
Christol, G.; Kamae, T.; Mendès France, Michel; Rauzy, Gérard
160
1980
Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets). Zbl 0402.68044
Christol, Gilles
69
1979
On the index theorem for \(p\)-adic differential equations. III. (Sur le théorème de l’indice des équations différentielles \(p\)-adiques. III.) Zbl 1078.12500
Christol, G.; Mebkhout, Z.
29
2000
On the index theorem for \(p\)-adic differential equations. IV. (Sur le théorème de l’indice des équations différentielles \(p\)-adiques. IV.) Zbl 1078.12501
Christol, G.; Mebkhout, Z.
28
2001
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
28
1994
Differential modules and \(p\)-adic differential equations. (Modules différentiels et équations différentielles \(p\)-adiques.) Zbl 0589.12020
Christol, Gilles
24
1983
On the index theorem for \(p\)-adic differential equations. II. (Sur le théorème de l’indice des équations différentielles \(p\)-adiques. II.) Zbl 0929.12003
Christol, G.; Mebkhout, Z.
21
1997
\(p\)-adic differential equations. Applications to exponential sums. (Equations différentielles \(p\)-adiques. Applications aux sommes exponentielles.) Zbl 0868.12006
Robba, Philippe; Christol, Gilles
18
1994
Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021
Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M.
18
2013
Un théorème de transfert pour les discques singuliers réguliers. Zbl 0553.12014
Christol, Gilles
16
1984
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
11
1991
On the index theorem for \(p\)-adic differential equations. I. (Sur le théorème de l’indice des équations différentielles \(p\)- adiques. I.) Zbl 0834.12005
Christol, G.; Mebkhout, Z.
11
1993
Équations différentielles \(p\)-adiques et coefficients \(p\)-adiques sur les courbes. (\(p\)-adic differential equations and \(p\)-adic coefficients over curves). Zbl 1031.12004
Christol, Gilles; Mebkhout, Zoghman
10
2002
Fonctions et éléments algébriques. (Algebraic functions and elements). Zbl 0591.12018
Christol, Gilles
10
1986
Diagonales de fractions rationnelles et équations différentielles. Zbl 0534.12018
Christol, Gilles
8
1984
Solutions algébriques des équations différentielles \(p\)-adiques. Zbl 0525.12020
Christol, G.
7
1983
Globally bounded solutions of differential equations. Zbl 0705.12006
Christol, Gilles
7
1990
Systèmes différentiels linéaires \(p\)-adiques, structure de Frobenius faible. Zbl 0459.12020
Christol, Gilles
6
1981
On overconvergent isocrystals and \(F\)-isocrystals of rank one. Zbl 0934.12004
Chiarellotto, Bruno; Christol, Gilles
5
1996
Diagonales de fractions rationelles. (Diagonals of rational fractions). Zbl 0694.13013
Christol, Gilles
5
1988
Diagonals of rational fractions. Zbl 1380.12006
Christol, Gilles
5
2015
Décomposition des matrices en facteurs singuliers applications aux équations différentielles. Zbl 0466.12016
Christol, Gilles
4
1981
The radius of convergence function for first order differential equations. Zbl 1238.12006
Christol, Gilles
3
2011
Éléments analytiques uniformes et multiformes. Zbl 0328.12013
Christol, Gilles
3
1975
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
Groupe d’étude d’analyse ultramétrique. 13ème année: 1985/86. Zbl 0649.00010
2
1986
Irregular \(p\)-adic linear differential equations. Zbl 0994.12001
Remmal, S.; Christol, G.
2
2000
About a Tsuzuki theorem. Zbl 0986.14012
Christol, G.
2
2001
Diagonales de fractions rationnelles et équations de Picard-Fuchs. (Diagonals of rational fractions and Picard-Fuchs equations). Zbl 0599.14009
Christol, Gilles
2
1985
Sur une opération analogue à l’opération de Cartier en caractéristique nulle. Zbl 0194.34803
Christol, G.
2
1970
Fast computation of the \(N\)th term of an algebraic series over a finite prime field. Zbl 1364.12009
Bostan, Alin; Christol, Gilles; Dumas, Philippe
2
2016
An application of \(c\)-compactness. Zbl 1053.46055
Christol, G.; Mebkhout, Z.; Schikhof, W. H.
1
1999
Works of Pierre Fermat. I: Number theory. Translated by Paul Tannery. With an introduction and commentary by R. Rashed, Ch. Houzel and G. Christol. (Œuvres de Pierre Fermat. I: La théorie des nombres.) Zbl 0961.01035
Fermat, Pierre
1
1999
Topological \(p\)-adic vector spaces and index theory. Zbl 0838.47054
Christol, Gilles; Mebkhout, Zoghman
1
1995
\(p\)-adic differential equations. Zbl 0994.12002
Christol, G.; Mebkhout, Z.
1
2000
Opération de Cartier et vecteurs de Witt. Zbl 0272.14004
Christol, Gilles
1
1972
Structure de Frobenius différentielles p-adiques. Zbl 0352.12015
Christol, Gilles
1
1977
Thirty years later. Zbl 1095.12003
Christol, Gilles
1
2004
Erratum à “Diagonale de fractions rationnelles”. (Erratum to: “Diagonals of rational fractions”). Zbl 0698.13009
Christol, G.
1
1990
\(p\)-adic numbers and ultrametricity. Zbl 0809.11076
Christol, Gilles
1
1992
Study group on ultrametric analysis. 10th year: 1982/83. No. 1. (Groupe d’étude d’analyse ultramétrique. 10ème année: 1982/83. Fasc. 1.) Zbl 1489.12010
1
1984
Study group on ultrametric analysis. 11th year: 1983/84. (Groupe d’étude d’analyse ultramétrique. 11ème année: 1983/84.) Zbl 1489.12012
1
1985
Fast coefficient computation for algebraic power series in positive characteristic. Zbl 07721121
Bostan, Alin; Caruso, Xavier; Christol, Gilles; Dumas, Philippe
1
2019
Fast coefficient computation for algebraic power series in positive characteristic. Zbl 07721121
Bostan, Alin; Caruso, Xavier; Christol, Gilles; Dumas, Philippe
1
2019
Fast computation of the \(N\)th term of an algebraic series over a finite prime field. Zbl 1364.12009
Bostan, Alin; Christol, Gilles; Dumas, Philippe
2
2016
Diagonals of rational fractions. Zbl 1380.12006
Christol, Gilles
5
2015
Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021
Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M.
18
2013
The radius of convergence function for first order differential equations. Zbl 1238.12006
Christol, Gilles
3
2011
Thirty years later. Zbl 1095.12003
Christol, Gilles
1
2004
Équations différentielles \(p\)-adiques et coefficients \(p\)-adiques sur les courbes. (\(p\)-adic differential equations and \(p\)-adic coefficients over curves). Zbl 1031.12004
Christol, Gilles; Mebkhout, Zoghman
10
2002
On the index theorem for \(p\)-adic differential equations. IV. (Sur le théorème de l’indice des équations différentielles \(p\)-adiques. IV.) Zbl 1078.12501
Christol, G.; Mebkhout, Z.
28
2001
About a Tsuzuki theorem. Zbl 0986.14012
Christol, G.
2
2001
On the index theorem for \(p\)-adic differential equations. III. (Sur le théorème de l’indice des équations différentielles \(p\)-adiques. III.) Zbl 1078.12500
Christol, G.; Mebkhout, Z.
29
2000
Irregular \(p\)-adic linear differential equations. Zbl 0994.12001
Remmal, S.; Christol, G.
2
2000
\(p\)-adic differential equations. Zbl 0994.12002
Christol, G.; Mebkhout, Z.
1
2000
An application of \(c\)-compactness. Zbl 1053.46055
Christol, G.; Mebkhout, Z.; Schikhof, W. H.
1
1999
Works of Pierre Fermat. I: Number theory. Translated by Paul Tannery. With an introduction and commentary by R. Rashed, Ch. Houzel and G. Christol. (Œuvres de Pierre Fermat. I: La théorie des nombres.) Zbl 0961.01035
Fermat, Pierre
1
1999
On the index theorem for \(p\)-adic differential equations. II. (Sur le théorème de l’indice des équations différentielles \(p\)-adiques. II.) Zbl 0929.12003
Christol, G.; Mebkhout, Z.
21
1997
On overconvergent isocrystals and \(F\)-isocrystals of rank one. Zbl 0934.12004
Chiarellotto, Bruno; Christol, Gilles
5
1996
Topological \(p\)-adic vector spaces and index theory. Zbl 0838.47054
Christol, Gilles; Mebkhout, Zoghman
1
1995
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
28
1994
\(p\)-adic differential equations. Applications to exponential sums. (Equations différentielles \(p\)-adiques. Applications aux sommes exponentielles.) Zbl 0868.12006
Robba, Philippe; Christol, Gilles
18
1994
On the index theorem for \(p\)-adic differential equations. I. (Sur le théorème de l’indice des équations différentielles \(p\)- adiques. I.) Zbl 0834.12005
Christol, G.; Mebkhout, Z.
11
1993
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
\(p\)-adic numbers and ultrametricity. Zbl 0809.11076
Christol, Gilles
1
1992
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
11
1991
Globally bounded solutions of differential equations. Zbl 0705.12006
Christol, Gilles
7
1990
Erratum à “Diagonale de fractions rationnelles”. (Erratum to: “Diagonals of rational fractions”). Zbl 0698.13009
Christol, G.
1
1990
Diagonales de fractions rationelles. (Diagonals of rational fractions). Zbl 0694.13013
Christol, Gilles
5
1988
Fonctions et éléments algébriques. (Algebraic functions and elements). Zbl 0591.12018
Christol, Gilles
10
1986
Groupe d’étude d’analyse ultramétrique. 13ème année: 1985/86. Zbl 0649.00010
2
1986
Diagonales de fractions rationnelles et équations de Picard-Fuchs. (Diagonals of rational fractions and Picard-Fuchs equations). Zbl 0599.14009
Christol, Gilles
2
1985
Study group on ultrametric analysis. 11th year: 1983/84. (Groupe d’étude d’analyse ultramétrique. 11ème année: 1983/84.) Zbl 1489.12012
1
1985
Un théorème de transfert pour les discques singuliers réguliers. Zbl 0553.12014
Christol, Gilles
16
1984
Diagonales de fractions rationnelles et équations différentielles. Zbl 0534.12018
Christol, Gilles
8
1984
Study group on ultrametric analysis. 10th year: 1982/83. No. 1. (Groupe d’étude d’analyse ultramétrique. 10ème année: 1982/83. Fasc. 1.) Zbl 1489.12010
1
1984
Differential modules and \(p\)-adic differential equations. (Modules différentiels et équations différentielles \(p\)-adiques.) Zbl 0589.12020
Christol, Gilles
24
1983
Solutions algébriques des équations différentielles \(p\)-adiques. Zbl 0525.12020
Christol, G.
7
1983
Systèmes différentiels linéaires \(p\)-adiques, structure de Frobenius faible. Zbl 0459.12020
Christol, Gilles
6
1981
Décomposition des matrices en facteurs singuliers applications aux équations différentielles. Zbl 0466.12016
Christol, Gilles
4
1981
Suites algébriques, automates et substitutions. Zbl 0472.10035
Christol, G.; Kamae, T.; Mendès France, Michel; Rauzy, Gérard
160
1980
Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets). Zbl 0402.68044
Christol, Gilles
69
1979
Structure de Frobenius différentielles p-adiques. Zbl 0352.12015
Christol, Gilles
1
1977
Éléments analytiques uniformes et multiformes. Zbl 0328.12013
Christol, Gilles
3
1975
Opération de Cartier et vecteurs de Witt. Zbl 0272.14004
Christol, Gilles
1
1972
Sur une opération analogue à l’opération de Cartier en caractéristique nulle. Zbl 0194.34803
Christol, G.
2
1970
all top 5

Cited by 258 Authors

26 Allouche, Jean-Paul Simon
11 Kedlaya, Kiran Sridhara
10 Shallit, Jeffrey Outlaw
9 Mendès France, Michel
8 Bell, Jason P.
8 Christol, Gilles
8 Wen, Zhixiong
7 Hu, Yining
6 Chiarellotto, Bruno
6 Mebkhout, Zoghman
6 Yao, Jiayan
5 Bostan, Alin
5 Maillard, Jean-Marie
5 Nakagawa, Takahiro
5 Skordev, Gencho S.
5 Tsuzuki, Nobuo
5 van der Poorten, Alfred J.
5 Yassawi, Reem
4 Abe, Tomoyuki
4 Barbé, André M.
4 Caro, Daniel
4 Dumas, Philippe
4 Dwork, Bernard Morris
4 Guo, Yingjun
4 Koutschan, Christoph
4 Moshe, Yossi
4 Peitgen, Heinz-Otto
4 Pulita, Andrea
4 Rowland, Eric S.
4 von Haeseler, Fritz
4 Wen, Zhiying
4 Winterhof, Arne
3 Abdelaziz, Y.
3 Adamczewski, Boris
3 André, Yves
3 Azzouz, Tinhinane A.
3 Baldassarri, Francesco
3 Boukraa, Salah
3 Coons, Michael
3 Dekking, Frederik Michel
3 Durand, Fabien
3 Han, Guo-Niu
3 Lasjaunias, Alain
3 Manjra, Said
3 Mauduit, Christian
3 Melczer, Stephen
3 Mérai, László
3 Perez-Garcia, Cristina
3 Salvy, Bruno
3 Scheicher, Klaus
3 Tapsoba, Théodore Marie-Yves
3 Ulas, Maciej
3 Vargas-Montoya, Daniel
3 Yurkevich, Sergey V.
2 Bézivin, Jean-Paul
2 Bousquet-Mélou, Mireille
2 Bruyère, Véronique
2 Byszewski, Jakub
2 Černý, Anton
2 Crew, Richard M.
2 Drmota, Michael
2 Dumont, Jean-Marie
2 Hansel, Georges
2 Harase, Takashi
2 Kamae, Teturo
2 Klurman, Oleksiy
2 Kochubeĭ, Anatoliĭ Naumovych
2 Konieczny, Jakub
2 Kurlberg, Pär
2 Lemańczyk, Mariusz
2 Lipshitz, Leonard
2 Mkaouar, Mohamed
2 Peyrière, Jacques
2 Popoli, Pierre
2 Queffelec, Martine
2 Rampersad, Narad
2 Rauzy, Gerard
2 Remmal, Salah-eddine
2 Rivoal, Tanguy
2 Robba, Philippe
2 Salon, Olivier
2 Sharif, Habib
2 Shiho, Atsushi
2 Stoll, Thomas
2 Straub, Armin
2 Thakur, Dinesh S.
2 Thomas, Alain
2 Xiao, Liang
2 Zhang, Jiemeng
2 Żmija, Błażej
1 Abbes, Farah
1 Ablinger, Jakob
1 Abram, Antoine
1 Agrawal, Shishir
1 Albayrak, Seda
1 Allombert, Bill
1 Ammar, Aymen
1 Anderson, Greg W.
1 Andriamampianina, D. Razafy
1 Arabia, Alberto
...and 158 more Authors
all top 5

Cited in 104 Serials

32 Theoretical Computer Science
21 Journal of Number Theory
17 Journal de Théorie des Nombres de Bordeaux
12 Annales de l’Institut Fourier
12 Bulletin de la Société Mathématique de France
9 Journal of Algebra
8 Rendiconti del Seminario Matematico della Università di Padova
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Mathematische Annalen
6 Compositio Mathematica
6 Advances in Applied Mathematics
5 Discrete Mathematics
5 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Mathematische Zeitschrift
5 RAIRO. Informatique Théorique et Applications
5 Journal of the Institute of Mathematics of Jussieu
5 Journal of Physics A: Mathematical and Theoretical
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 Finite Fields and their Applications
4 International Journal of Number Theory
3 Israel Journal of Mathematics
3 Transactions of the American Mathematical Society
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Documenta Mathematica
3 Cryptography and Communications
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Discrete Applied Mathematics
2 The Mathematical Intelligencer
2 Advances in Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Combinatorial Theory. Series A
2 Journal of Symbolic Computation
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Annales Mathématiques Blaise Pascal
2 Selecta Mathematica. New Series
2 The Ramanujan Journal
2 Actes des Rencontres du C.I.R.M.
1 Bulletin of the Australian Mathematical Society
1 Information Processing Letters
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Beiträge zur Algebra und Geometrie
1 Acta Arithmetica
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 The Journal of Symbolic Logic
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 RAIRO, Informatique Théorique
1 Tôhoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Combinatorica
1 Acta Mathematica Hungarica
1 Probability Theory and Related Fields
1 Information and Computation
1 Journal of the American Mathematical Society
1 Discrete Mathematics and Applications
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Experimental Mathematics
1 Combinatorics, Probability and Computing
1 Kyushu Journal of Mathematics
1 Georgian Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 Journal of Difference Equations and Applications
1 Theory of Computing Systems
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 RAIRO. Theoretical Informatics and Applications
1 Integers
1 Foundations of Computational Mathematics
1 Frontiers of Mathematics in China
1 Algebra & Number Theory
1 Uniform Distribution Theory
1 RAIRO. Theoretical Informatics and Applications
...and 4 more Serials
all top 5

Cited in 38 Fields

187 Number theory (11-XX)
98 Computer science (68-XX)
71 Field theory and polynomials (12-XX)
69 Algebraic geometry (14-XX)
32 Commutative algebra (13-XX)
21 Combinatorics (05-XX)
15 Special functions (33-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 Ordinary differential equations (34-XX)
8 Operator theory (47-XX)
7 Associative rings and algebras (16-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Group theory and generalizations (20-XX)
6 Functional analysis (46-XX)
4 Mathematical logic and foundations (03-XX)
4 Functions of a complex variable (30-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Measure and integration (28-XX)
3 Approximations and expansions (41-XX)
2 General and overarching topics; collections (00-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Quantum theory (81-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Partial differential equations (35-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year

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