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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.
Documents Indexed: 58 Publications since 1968, including 6 Books
1 Contribution as Editor · 1 Further Contribution
Reviewing Activity: 102 Reviews
Co-Authors: 20 Co-Authors with 24 Joint Publications
293 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 443 times in 270 Documents Cited by Year
Suites algébriques, automates et substitutions. Zbl 0472.10035
Christol, G.; Kamae, T.; Mendès France, Michel; Rauzy, Gérard
145
1980
Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets). Zbl 0402.68044
Christol, Gilles
58
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.
27
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.
25
2001
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
25
1994
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.
20
1997
Differential modules and \(p\)-adic differential equations. (Modules différentiels et équations différentielles \(p\)-adiques.) Zbl 0589.12020
Christol, Gilles
16
1983
\(p\)-adic differential equations. Applications to exponential sums. (Equations différentielles \(p\)-adiques. Applications aux sommes exponentielles.) Zbl 0868.12006
Robba, Philippe; Christol, Gilles
14
1994
Un théorème de transfert pour les discques singuliers réguliers. Zbl 0553.12014
Christol, Gilles
13
1984
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
11
1991
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. I. (Sur le théorème de l’indice des équations différentielles \(p\)- adiques. I.) Zbl 0834.12005
Christol, G.; Mebkhout, Z.
10
1993
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.
8
2013
Fonctions et éléments algébriques. (Algebraic functions and elements). Zbl 0591.12018
Christol, Gilles
7
1986
Solutions algébriques des équations différentielles \(p\)-adiques. Zbl 0525.12020
Christol, G.
6
1983
Systèmes différentiels linéaires \(p\)-adiques, structure de Frobenius faible. Zbl 0459.12020
Christol, Gilles
5
1981
Diagonals of rational fractions. Zbl 1380.12006
Christol, Gilles
4
2015
On overconvergent isocrystals and \(F\)-isocrystals of rank one. Zbl 0934.12004
Chiarellotto, Bruno; Christol, Gilles
4
1996
Diagonales de fractions rationnelles et équations différentielles. Zbl 0534.12018
Christol, Gilles
4
1984
Diagonales de fractions rationelles. (Diagonals of rational fractions). Zbl 0694.13013
Christol, Gilles
3
1988
Éléments analytiques uniformes et multiformes. Zbl 0328.12013
Christol, Gilles
3
1975
The radius of convergence function for first order differential equations. Zbl 1238.12006
Christol, Gilles
3
2011
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
Sur une opération analogue à l’opération de Cartier en caractéristique nulle. Zbl 0194.34803
Christol, G.
2
1970
Décomposition des matrices en facteurs singuliers applications aux équations différentielles. Zbl 0466.12016
Christol, Gilles
2
1981
Irregular \(p\)-adic linear differential equations. Zbl 0994.12001
Remmal, S.; Christol, G.
2
2000
Topological \(p\)-adic vector spaces and index theory. Zbl 0838.47054
Christol, Gilles; Mebkhout, Zoghman
1
1995
Thirty years later. Zbl 1095.12003
Christol, Gilles
1
2004
An application of \(c\)-compactness. Zbl 1053.46055
Christol, G.; Mebkhout, Z.; Schikhof, W. H.
1
1999
Structure de Frobenius différentielles p-adiques. Zbl 0352.12015
Christol, Gilles
1
1977
Opération de Cartier et vecteurs de Witt. Zbl 0272.14004
Christol, Gilles
1
1972
Erratum à “Diagonale de fractions rationnelles”. (Erratum to: “Diagonals of rational fractions”). Zbl 0698.13009
Christol, G.
1
1990
Globally bounded solutions of differential equations. Zbl 0705.12006
Christol, Gilles
1
1990
About a Tsuzuki theorem. Zbl 0986.14012
Christol, G.
1
2001
Groupe d’étude d’analyse ultramétrique. Zbl 0649.00010
1
1988
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
\(p\)-adic numbers and ultrametricity. Zbl 0809.11076
Christol, Gilles
1
1992
\(p\)-adic differential equations. Zbl 0994.12002
Christol, G.; Mebkhout, Z.
1
2000
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
1
2016
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
1
2016
Diagonals of rational fractions. Zbl 1380.12006
Christol, Gilles
4
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.
8
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.
25
2001
About a Tsuzuki theorem. Zbl 0986.14012
Christol, G.
1
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.
27
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.
20
1997
On overconvergent isocrystals and \(F\)-isocrystals of rank one. Zbl 0934.12004
Chiarellotto, Bruno; Christol, Gilles
4
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
25
1994
\(p\)-adic differential equations. Applications to exponential sums. (Equations différentielles \(p\)-adiques. Applications aux sommes exponentielles.) Zbl 0868.12006
Robba, Philippe; Christol, Gilles
14
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.
10
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
Erratum à “Diagonale de fractions rationnelles”. (Erratum to: “Diagonals of rational fractions”). Zbl 0698.13009
Christol, G.
1
1990
Globally bounded solutions of differential equations. Zbl 0705.12006
Christol, Gilles
1
1990
Diagonales de fractions rationelles. (Diagonals of rational fractions). Zbl 0694.13013
Christol, Gilles
3
1988
Groupe d’étude d’analyse ultramétrique. Zbl 0649.00010
1
1988
Fonctions et éléments algébriques. (Algebraic functions and elements). Zbl 0591.12018
Christol, Gilles
7
1986
Un théorème de transfert pour les discques singuliers réguliers. Zbl 0553.12014
Christol, Gilles
13
1984
Diagonales de fractions rationnelles et équations différentielles. Zbl 0534.12018
Christol, Gilles
4
1984
Differential modules and \(p\)-adic differential equations. (Modules différentiels et équations différentielles \(p\)-adiques.) Zbl 0589.12020
Christol, Gilles
16
1983
Solutions algébriques des équations différentielles \(p\)-adiques. Zbl 0525.12020
Christol, G.
6
1983
Systèmes différentiels linéaires \(p\)-adiques, structure de Frobenius faible. Zbl 0459.12020
Christol, Gilles
5
1981
Décomposition des matrices en facteurs singuliers applications aux équations différentielles. Zbl 0466.12016
Christol, Gilles
2
1981
Suites algébriques, automates et substitutions. Zbl 0472.10035
Christol, G.; Kamae, T.; Mendès France, Michel; Rauzy, Gérard
145
1980
Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets). Zbl 0402.68044
Christol, Gilles
58
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 237 Authors

25 Allouche, Jean-Paul Simon
11 Kedlaya, Kiran Sridhara
9 Mendès France, Michel
9 Shallit, Jeffrey O.
8 Wen, Zhixiong
7 Bell, Jason P.
7 Christol, Gilles
5 Chiarellotto, Bruno
5 Mebkhout, Zoghman
5 van der Poorten, Alfred J.
5 Yao, Jiayan
5 Yassawi, Reem
4 Abe, Tomoyuki
4 Barbé, André M.
4 Caro, Daniel
4 Dwork, Bernard Morris
4 Guo, Yingjun
4 Hu, Yining
4 Moshe, Yossi
4 Nakagawa, Takahiro
4 Peitgen, Heinz-Otto
4 Pulita, Andrea
4 Rowland, Eric S.
4 Skordev, Gencho S.
4 von Haeseler, Fritz
4 Wen, Zhiying
3 Adamczewski, Boris
3 André, Yves
3 Baldassarri, Francesco
3 Bostan, Alin
3 Coons, Michael
3 Dekking, Frederik Michel
3 Dumas, Philippe
3 Durand, Fabien
3 Lasjaunias, Alain
3 Manjra, Said
3 Mauduit, Christian
3 Perez-Garcia, Cristina
3 Salvy, Bruno
3 Scheicher, Klaus
3 Tapsoba, Théodore Marie-Yves
3 Tsuzuki, Nobuo
3 Winterhof, Arne
2 Azzouz, Tinhinane A.
2 Berger, Laurent
2 Bézivin, Jean-Paul
2 Bousquet-Mélou, Mireille
2 Černý, Anton
2 Crew, Richard M.
2 Drmota, Michael
2 Dumont, Jean-Marie
2 Harase, Takashi
2 Kamae, Teturo
2 Lemańczyk, Mariusz
2 Lipshitz, Leonard
2 Maillard, Jean-Marie
2 Melczer, Stephen
2 Mérai, László
2 Mkaouar, Mohamed
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 Thomas, Alain
2 Ulas, Maciej
2 Wei-Han, Guoniu
2 Xiao, Liang
2 Zhang, Jiemeng
2 Żmija, Błażej
1 Abbes, Farah
1 Abdelaziz, Y.
1 Ablinger, Jakob
1 Agrawal, Shishir
1 Ait-Amrane, Lyes
1 Albayrak, Seda
1 Allombert, Bill
1 Anderson, Greg W.
1 Andriamampianina, D. Razafy
1 Arabia, Alberto
1 Bakinova, Ekaterina
1 Banderier, Cyril
1 Baranwal, Aseem R.
1 Barat, Guy
1 Basharin, Artem
1 Batmanov, Igor
1 Becker, Paul-Georg
1 Benzaghou, Benali
1 Bercoff, Christiane
1 Bergeron, François
1 Berthé, Valérie
1 Berthelot, Pierre
1 Bétréma, Jean
1 Blanc, Georges
...and 137 more Authors
all top 5

Cited in 94 Serials

31 Theoretical Computer Science
19 Journal of Number Theory
17 Journal de Théorie des Nombres de Bordeaux
12 Annales de l’Institut Fourier
10 Bulletin de la Société Mathématique de France
8 Journal of Algebra
7 Rendiconti del Seminario Matematico della Università di Padova
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Compositio Mathematica
6 Mathematische Annalen
5 Discrete Mathematics
5 Duke Mathematical Journal
5 Mathematische Zeitschrift
5 Advances in Applied Mathematics
5 RAIRO. Informatique Théorique et Applications
5 Journal of the Institute of Mathematics of Jussieu
4 Inventiones Mathematicae
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 International Journal of Number Theory
3 Israel Journal of Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Documenta Mathematica
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 Transactions of the American Mathematical Society
2 Journal of Symbolic Computation
2 Bulletin of the American Mathematical Society. New Series
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Annales Mathématiques Blaise Pascal
2 Finite Fields and their Applications
2 The Ramanujan Journal
2 Journal of Physics A: Mathematical and Theoretical
2 Cryptography and Communications
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
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 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Beiträge zur Algebra und Geometrie
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 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 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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 Combinatorics, Probability and Computing
1 Kyushu Journal of Mathematics
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Theory of Computing Systems
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 Algebra & Number Theory
1 Uniform Distribution Theory
1 RAIRO. Theoretical Informatics and Applications
1 Algebraic Structures and their Applications
1 Annales Henri Lebesgue

Citations by Year

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