×

zbMATH — the first resource for mathematics

Christol, Gilles

Compute Distance To:
Author ID: christol.gilles Recent zbMATH articles by "Christol, Gilles"
Published as: Christol, G.; Christol, Gilles
Homepage: https://webusers.imj-prg.fr/~gilles.christol/
External Links: MGP · Wikidata · dblp
Member of Collective: Parent, D. P.
Documents Indexed: 59 Publications since 1968, including 7 Books
Reviewing Activity: 98 Reviews

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 417 times in 249 Documents Cited by Year
Suites algébriques, automates et substitutions. Zbl 0472.10035
Christol, G.; Kamae, T.; Mendès France, Michel; Rauzy, Gérard
139
1980
Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets). Zbl 0402.68044
Christol, Gilles
47
1979
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
24
1994
On the index theorem for \(p\)-adic differential equations. III. Zbl 1078.12500
Christol, G.; Mebkhout, Z.
23
2000
On the index theorem for \(p\)-adic differential equations. IV. Zbl 1078.12501
Christol, G.; Mebkhout, Z.
20
2001
On the index theorem for \(p\)-adic differential equations. II. Zbl 0929.12003
Christol, G.; Mebkhout, Z.
19
1997
Differential modules and \(p\)-adic differential equations. Zbl 0589.12020
Christol, Gilles
18
1983
\(p\)-adic differential equations. Applications to exponential sums. Zbl 0868.12006
Robba, Philippe; Christol, Gilles
15
1994
Un théorème de transfert pour les discques singuliers réguliers. Zbl 0553.12014
Christol, Gilles
13
1984
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. Zbl 0834.12005
Christol, G.; Mebkhout, Z.
10
1993
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
10
1991
Fonctions et éléments algébriques. (Algebraic functions and elements). Zbl 0591.12018
Christol, Gilles
7
1986
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.
6
2013
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
The radius of convergence function for first order differential equations. Zbl 1238.12006
Christol, Gilles
4
2011
On overconvergent isocrystals and \(F\)-isocrystals of rank one. Zbl 0934.12004
Chiarellotto, Bruno; Christol, Gilles
4
1996
Diagonales de fractions rationelles. (Diagonals of rational fractions). Zbl 0694.13013
Christol, Gilles
4
1988
Diagonales de fractions rationnelles et équations différentielles. Zbl 0534.12018
Christol, Gilles
4
1984
Diagonals of rational fractions. Zbl 1380.12006
Christol, Gilles
3
2015
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
Globally bounded solutions of differential equations. Zbl 0705.12006
Christol, Gilles
3
1990
Éléments analytiques uniformes et multiformes. Zbl 0328.12013
Christol, Gilles
3
1975
Irregular \(p\)-adic linear differential equations. Zbl 0994.12001
Remmal, S.; Christol, G.
2
2000
Décomposition des matrices en facteurs singuliers applications aux équations différentielles. Zbl 0466.12016
Christol, Gilles
2
1981
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
1
2016
Thirty years later. Zbl 1095.12003
Christol, Gilles
1
2004
About a Tsuzuki theorem. Zbl 0986.14012
Christol, G.
1
2001
\(p\)-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
Topological \(p\)-adic vector spaces and index theory. Zbl 0838.47054
Christol, Gilles; Mebkhout, Zoghman
1
1995
\(p\)-adic numbers and ultrametricity. Zbl 0809.11076
Christol, Gilles
1
1992
Erratum à “Diagonale de fractions rationnelles”. (Erratum to: “Diagonals of rational fractions”). Zbl 0698.13009
Christol, G.
1
1990
Groupe d’étude d’analyse ultramétrique. Zbl 0649.00010
Amice, Y. (ed.); Christol, G. (ed.); Robba, P. (ed.)
1
1988
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
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
3
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.
6
2013
The radius of convergence function for first order differential equations. Zbl 1238.12006
Christol, Gilles
4
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. Zbl 1078.12501
Christol, G.; Mebkhout, Z.
20
2001
About a Tsuzuki theorem. Zbl 0986.14012
Christol, G.
1
2001
On the index theorem for \(p\)-adic differential equations. III. Zbl 1078.12500
Christol, G.; Mebkhout, Z.
23
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
On the index theorem for \(p\)-adic differential equations. II. Zbl 0929.12003
Christol, G.; Mebkhout, Z.
19
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
24
1994
\(p\)-adic differential equations. Applications to exponential sums. Zbl 0868.12006
Robba, Philippe; Christol, Gilles
15
1994
On the index theorem for \(p\)-adic differential equations. 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.
10
1991
Globally bounded solutions of differential equations. Zbl 0705.12006
Christol, Gilles
3
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
4
1988
Groupe d’étude d’analyse ultramétrique. Zbl 0649.00010
Amice, Y. (ed.); Christol, G. (ed.); Robba, P. (ed.)
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. Zbl 0589.12020
Christol, Gilles
18
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
139
1980
Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets). Zbl 0402.68044
Christol, Gilles
47
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 216 Authors

25 Allouche, Jean-Paul Simon
10 Kedlaya, Kiran Sridhara
10 Mendès France, Michel
8 Wen, Zhixiong
7 Christol, Gilles
7 Shallit, Jeffrey O.
6 Bell, Jason P.
5 Chiarellotto, Bruno
5 Mebkhout, Zoghman
5 Skordev, Gencho S.
5 van der Poorten, Alfred J.
5 Wen, Zhi-Ying
5 Yao, Jiayan
4 Abe, Tomoyuki
4 Barbé, André M.
4 Caro, Daniel
4 Dwork, Bernard Morris
4 Guo, Yingjun
4 Hu, Yining
4 Moshe, Yossi
4 Peitgen, Heinz-Otto
4 Pulita, Andrea
4 Rowland, Eric S.
4 von Haeseler, Fritz
4 Yassawi, Reem
3 Adamczewski, Boris
3 André, Yves
3 Baldassarri, Francesco
3 Coons, Michael
3 Dekking, Frederik Michel
3 Dumas, Philippe
3 Durand, Fabien
3 Lasjaunias, Alain
3 Manjra, Said
3 Mauduit, Christian
3 Salvy, Bruno
3 Scheicher, Klaus
3 Tapsoba, Théodore Marie-Yves
3 Winterhof, Arne
2 Berger, Laurent
2 Bézivin, Jean-Paul
2 Černý, Anton
2 Crew, Richard M.
2 Drmota, Michael
2 Dumont, Jean-Marie
2 Garnier, Lionel
2 Harase, Takashi
2 Kamae, Teturo
2 Kochubeĭ, Anatoliĭ Naumovych
2 Lipshitz, Leonard
2 Maillard, Jean-Marie
2 Mérai, László
2 Mkaouar, Mohamed
2 Nakagawa, Takahiro
2 Perez-Garcia, Cristina
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 Thomas, Alain
2 Tsuzuki, Nobuo
2 Wei-Han, Guoniu
2 Xiao, Liang
2 Zhang, Jiemeng
1 Abbes, Farah
1 Abdelaziz, Y.
1 Ablinger, Jakob
1 Ait-Amrane, Lyes
1 Allombert, Bill
1 Anderson, Greg W.
1 Andriamampianina, D. Razafy
1 Arabia, Alberto
1 Azzouz, Tinhinane A.
1 Banderier, Cyril
1 Barat, Guy
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
1 Blanchard, Frédéric
1 Bleher, Frauke M.
1 Bleuzen-Guernalec, Noëlle
1 Blümlein, Johannes
1 Bostan, Alin
1 Boukraa, Salah
1 Bousquet-Mélou, Mireille
1 Boutabaa, Abdelbaki
1 Bridy, Andrew
1 Brisebarre, Nicolas
1 Bruin, Nils
1 Bruyère, Véronique
...and 116 more Authors
all top 5

Cited in 85 Serials

30 Theoretical Computer Science
18 Journal of Number Theory
16 Journal de Théorie des Nombres de Bordeaux
12 Annales de l’Institut Fourier
10 Bulletin de la Société Mathématique de France
7 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 Advances in Applied Mathematics
5 RAIRO. Informatique Théorique et Applications
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 Journal of the Institute of Mathematics of Jussieu
4 International Journal of Number Theory
3 Israel Journal of Mathematics
3 Inventiones Mathematicae
3 Mathematische Zeitschrift
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Finite Fields and their 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 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 Journal of Physics A: Mathematical and Theoretical
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 Manuscripta Mathematica
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
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 European Journal of Combinatorics
1 Acta Mathematica Hungarica
1 Probability Theory and Related Fields
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 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 Documenta Mathematica
1 The Ramanujan Journal
1 Theory of Computing Systems
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 RAIRO. Theoretical Informatics and Applications
1 Integers
1 Foundations of Computational Mathematics
1 Algebra & Number Theory
1 Cryptography and Communications
1 RAIRO. Theoretical Informatics and Applications
1 Algebraic Structures and their Applications

Citations by Year

Wikidata Timeline