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Fischler, Stéphane

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Author ID: fischler.stephane Recent zbMATH articles by "Fischler, Stéphane"
Published as: Fischler, Stéphane; Fischler, S.
Homepage: https://www.imo.universite-paris-saclay.fr/~fischler/
External Links: MGP · dblp · IdRef · theses.fr
Documents Indexed: 40 Publications since 2001
1 Contribution as Editor
Reviewing Activity: 3 Reviews
Co-Authors: 11 Co-Authors with 25 Joint Publications
157 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 192 times in 119 Documents Cited by Year
Palindromic prefixes and episturmian words. Zbl 1109.68082
Fischler, Stéphane
22
2006
Palindromic prefixes and Diophantine approximation. Zbl 1124.11032
Fischler, Stéphane
13
2007
A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088
Fischler, Stéphane; Zudilin, Wadim
13
2010
Irrationality of zeta values (following Apéry, Rivoal, \(\dots\)). (Irrationalité de valeurs de zêta (d’après Apéry, Rivoal, \(\dots\)).) Zbl 1101.11024
Fischler, Stéphane
12
2004
Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) Zbl 1064.11053
Fischler, S.; Rivoal, T.
11
2003
On the values of \(G\)-functions. Zbl 1304.11070
Fischler, Stéphane; Rivoal, Tanguy
10
2014
A Diophantine duality applied to the KAM and Nekhoroshev theorems. Zbl 1308.37028
Bounemoura, Abed; Fischler, Stéphane
9
2013
Many odd zeta values are irrational. Zbl 1430.11097
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
7
2019
A converse to linear independence criteria, valid almost everywhere. Zbl 1387.11062
Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J.
6
2015
Irrationality exponent and rational approximations with prescribed growth. Zbl 1222.11094
Fischler, Stéphane; Rivoal, Tanguy
6
2010
Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) Zbl 1161.33003
Cresson, J.; Fischler, S.; Rivoal, T.
6
2008
Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) Zbl 1398.11109
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
6
2018
Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) Zbl 1370.11090
Fischler, Stéphane; Rivoal, Tanguy
5
2016
A density exponent in rational approximation. (Un exposant de densité en approximation rationnelle.) Zbl 1147.11039
Fischler, Stéphane; Rivoal, Tanguy
5
2006
The classical KAM theorem for Hamiltonian systems via rational approximations. Zbl 1339.37042
Bounemoura, Abed; Fischler, Stéphane
5
2014
Linear forms in multiple zeta values and multiple integrals. (Formes linéaires en polyzêtas et intégrales multiples.) Zbl 1017.11048
Fischler, Stéphane
5
2002
Nesterenko’s linear independence criterion for vectors. Zbl 1322.11080
Fischler, Stéphane
4
2015
Restricted rational approximation and Apéry-type constructions. Zbl 1198.11057
Fischler, Stéphane
4
2009
Symmetry phenomena in linear forms in multiple zeta values. (Phénomènes de symétrie dans des formes linéaires en polyzêtas.) Zbl 1227.11097
Cresson, J.; Fischler, S.; Rivoal, T.
4
2008
Spectra for approximating a real number and its square. (Spectres pour l’approximation d’un nombre réel et de son carré.) Zbl 1073.11048
Fischler, Stéphane
4
2004
Interpolation on algebraic groups. Zbl 1080.14054
Fischler, S.
4
2005
Nesterenko’s criterion when the small linear forms oscillate. Zbl 1323.11051
Fischler, Stéphane
3
2012
Rhin-Viola groups and multiple integrals. (Groupes de Rhin-Viola et intégrales multiples.) Zbl 1074.11040
Fischler, Stéphane
3
2003
Linear independence of values of \(G\)-functions. Zbl 1446.11136
Fischler, Stéphane; Rivoal, Tanguy
3
2020
On the denominators of the Taylor coefficients of \(G\)-functions. Zbl 1415.11098
Fischler, Stéphane; Rivoal, Tanguy
3
2017
Microsolutions of differential operators and values of arithmetic Gevrey series. Zbl 1431.11093
Fischler, S.; Rivoal, T.
3
2018
Multiple zeta values, Padé approximation and Vasilyev’s conjecture. Zbl 1412.11104
Fischler, Stéphane; Rivoal, Tanguy
2
2016
Multiple series connected to Hoffman’s conjecture on multiple zeta values. Zbl 1186.11051
Fischler, S.
2
2008
Rational approximation to values of \(G\)-functions, and their expansions in integer bases. Zbl 1393.11054
Fischler, S.; Rivoal, T.
2
2018
Irrationality of values of \(L\)-functions of Dirichlet characters. Zbl 1448.11137
Fischler, Stéphane
2
2020
Shidlovsky’s multiplicity estimate and irrationality of zeta values. Zbl 1432.11084
Fischler, Stéphane
2
2018
Connecting interpolation and multiplicity estimates in commutative algebraic groups. Zbl 1347.11054
Fischler, S.; Nakamaye, M.
1
2016
Values of globally bounded \(G\)-functions. Zbl 1441.11183
Fischler, S.; Rivoal, T.
1
2019
Seshadri constants and interpolation on commutative algebraic groups. (Constantes de Seshadri et interpolation dans les groupes algèbriques commutatifs.) Zbl 1330.14076
Fischler, Stéphane; Nakamaye, Michael
1
2014
Orbits under algebraic groups and logarithms of algebraic numbers. Zbl 0987.11045
Fischler, Stéphane
1
2001
Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. Zbl 1476.11099
Fischler, S.; Rivoal, T.
1
2021
Erratum to: “Rational approximation to values of \(G\)-functions, and their expansions in integer bases”. Zbl 1393.11055
Fischler, S.; Rivoal, T.
1
2018
Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. Zbl 1476.11099
Fischler, S.; Rivoal, T.
1
2021
Linear independence of values of \(G\)-functions. Zbl 1446.11136
Fischler, Stéphane; Rivoal, Tanguy
3
2020
Irrationality of values of \(L\)-functions of Dirichlet characters. Zbl 1448.11137
Fischler, Stéphane
2
2020
Many odd zeta values are irrational. Zbl 1430.11097
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
7
2019
Values of globally bounded \(G\)-functions. Zbl 1441.11183
Fischler, S.; Rivoal, T.
1
2019
Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) Zbl 1398.11109
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
6
2018
Microsolutions of differential operators and values of arithmetic Gevrey series. Zbl 1431.11093
Fischler, S.; Rivoal, T.
3
2018
Rational approximation to values of \(G\)-functions, and their expansions in integer bases. Zbl 1393.11054
Fischler, S.; Rivoal, T.
2
2018
Shidlovsky’s multiplicity estimate and irrationality of zeta values. Zbl 1432.11084
Fischler, Stéphane
2
2018
Erratum to: “Rational approximation to values of \(G\)-functions, and their expansions in integer bases”. Zbl 1393.11055
Fischler, S.; Rivoal, T.
1
2018
On the denominators of the Taylor coefficients of \(G\)-functions. Zbl 1415.11098
Fischler, Stéphane; Rivoal, Tanguy
3
2017
Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) Zbl 1370.11090
Fischler, Stéphane; Rivoal, Tanguy
5
2016
Multiple zeta values, Padé approximation and Vasilyev’s conjecture. Zbl 1412.11104
Fischler, Stéphane; Rivoal, Tanguy
2
2016
Connecting interpolation and multiplicity estimates in commutative algebraic groups. Zbl 1347.11054
Fischler, S.; Nakamaye, M.
1
2016
A converse to linear independence criteria, valid almost everywhere. Zbl 1387.11062
Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J.
6
2015
Nesterenko’s linear independence criterion for vectors. Zbl 1322.11080
Fischler, Stéphane
4
2015
On the values of \(G\)-functions. Zbl 1304.11070
Fischler, Stéphane; Rivoal, Tanguy
10
2014
The classical KAM theorem for Hamiltonian systems via rational approximations. Zbl 1339.37042
Bounemoura, Abed; Fischler, Stéphane
5
2014
Seshadri constants and interpolation on commutative algebraic groups. (Constantes de Seshadri et interpolation dans les groupes algèbriques commutatifs.) Zbl 1330.14076
Fischler, Stéphane; Nakamaye, Michael
1
2014
A Diophantine duality applied to the KAM and Nekhoroshev theorems. Zbl 1308.37028
Bounemoura, Abed; Fischler, Stéphane
9
2013
Nesterenko’s criterion when the small linear forms oscillate. Zbl 1323.11051
Fischler, Stéphane
3
2012
A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088
Fischler, Stéphane; Zudilin, Wadim
13
2010
Irrationality exponent and rational approximations with prescribed growth. Zbl 1222.11094
Fischler, Stéphane; Rivoal, Tanguy
6
2010
Restricted rational approximation and Apéry-type constructions. Zbl 1198.11057
Fischler, Stéphane
4
2009
Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) Zbl 1161.33003
Cresson, J.; Fischler, S.; Rivoal, T.
6
2008
Symmetry phenomena in linear forms in multiple zeta values. (Phénomènes de symétrie dans des formes linéaires en polyzêtas.) Zbl 1227.11097
Cresson, J.; Fischler, S.; Rivoal, T.
4
2008
Multiple series connected to Hoffman’s conjecture on multiple zeta values. Zbl 1186.11051
Fischler, S.
2
2008
Palindromic prefixes and Diophantine approximation. Zbl 1124.11032
Fischler, Stéphane
13
2007
Palindromic prefixes and episturmian words. Zbl 1109.68082
Fischler, Stéphane
22
2006
A density exponent in rational approximation. (Un exposant de densité en approximation rationnelle.) Zbl 1147.11039
Fischler, Stéphane; Rivoal, Tanguy
5
2006
Interpolation on algebraic groups. Zbl 1080.14054
Fischler, S.
4
2005
Irrationality of zeta values (following Apéry, Rivoal, \(\dots\)). (Irrationalité de valeurs de zêta (d’après Apéry, Rivoal, \(\dots\)).) Zbl 1101.11024
Fischler, Stéphane
12
2004
Spectra for approximating a real number and its square. (Spectres pour l’approximation d’un nombre réel et de son carré.) Zbl 1073.11048
Fischler, Stéphane
4
2004
Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) Zbl 1064.11053
Fischler, S.; Rivoal, T.
11
2003
Rhin-Viola groups and multiple integrals. (Groupes de Rhin-Viola et intégrales multiples.) Zbl 1074.11040
Fischler, Stéphane
3
2003
Linear forms in multiple zeta values and multiple integrals. (Formes linéaires en polyzêtas et intégrales multiples.) Zbl 1017.11048
Fischler, Stéphane
5
2002
Orbits under algebraic groups and logarithms of algebraic numbers. Zbl 0987.11045
Fischler, Stéphane
1
2001
all top 5

Cited by 120 Authors

26 Fischler, Stéphane
17 Rivoal, Tanguy
10 Zudilin, Wadim
7 Bucci, Michelangelo
7 De Luca, Alessandro
7 Zamboni, Luca Quardo
5 Bounemoura, Abed Bounemoura
4 Glen, Amy
4 Hussain, Mumtaz
4 Krattenthaler, Christian Friedrich
4 Kristensen, Simon
3 de Luca, Aldo
3 Hessami Pilehrood, Khodabakhsh
3 Hessami Pilehrood, Tatiana
3 Marcovecchio, Raffaele
3 Nakamaye, Michael
3 Roy, Damien
3 Schleischitz, Johannes
3 Sprang, Johannes
2 Adamczewski, Boris
2 Dauguet, Simon
2 Fici, Gabriele
2 Justin, Jacques
2 Pongsriiam, Prapanpong
2 Roques, Julien
2 Zhang, Dongfeng
1 Allouche, Jean-Paul Simon
1 Andersen, Simon Bruno
1 Bel, Pierre
1 Bertrand, Daniel
1 Borchert, Adam
1 Bostan, Alin
1 Bousquet-Mélou, Mireille
1 Bugeaud, Yann
1 Caron-Huot, Simon
1 Cassaigne, Julien
1 Chantanasiri, Amarisa
1 Chaperon, Marc
1 Cong, Fuzhong
1 Diakonos, Fotis K.
1 Dixon, Lance J.
1 Dulat, Falko
1 Dupont, Clément
1 Dwilewicz, Roman J.
1 Féjoz, Jacques
1 Ferguson, Timothy
1 Fernandes, Gwladys
1 Freeman, David Mandell
1 Fresán, Javier
1 Ge, Yuxin
1 Ghareghani, Narges
1 Gladiali, Francesca
1 Grossi, Massimo
1 Harrap, Stephen B.
1 Hirata-Kohno, Noriko
1 Hirose, Minoru
1 Hong, Jialin
1 Huang, Hui
1 Igarashi, Masahiro
1 Ihara, Kentaro
1 Jossen, Peter
1 Kajikawa, Jun
1 Kaloshin, Vadim Yu.
1 Kalozoumis, P. A.
1 Kannan, J. Bharathi
1 Kauers, Manuel
1 Kawashima, Makoto
1 Lagarias, Jeffrey C.
1 Lai, Li
1 Lepetit, Gabriel
1 Levesley, Jason
1 Li, Hongtian
1 Mahboubi, Assia
1 Mahboubi, Seyyed Hassan
1 McLeod, Andrew J.
1 Melczer, Stephen
1 Mináč, Ján
1 Mohammad-Noori, Morteza
1 Morfonios, Christian V.
1 Motahari, Abolfazl Seyed
1 Mousavi, Hamoon
1 Müller, Thomas W.
1 Musso, Monica
1 Nesterenko, Yuriĭ Valentinovich
1 Ohno, Yasuo
1 Okada, Hironori
1 Okuda, Jun-ichi
1 Papathanasiou, Georgios
1 Patera, Anthony T.
1 Paul, Sanku
1 Phunphayap, Phakhinkon Napp
1 Pistoia, Angela
1 Poels, Anthony
1 Postelmans, Kelly
1 Prud’homme, Christophe
1 Rampersad, Narad
1 Richomme, Gwénaël
1 Rowland, Eric S.
1 Saari, Kalle
1 Santhanam, M. S.
...and 20 more Authors
all top 5

Cited in 67 Serials

11 Journal of Number Theory
5 Theoretical Computer Science
5 Journal de Théorie des Nombres de Bordeaux
4 Manuscripta Mathematica
3 Compositio Mathematica
3 Monatshefte für Mathematik
3 Proceedings of the American Mathematical Society
3 Indagationes Mathematicae. New Series
3 Journal of Mathematical Sciences (New York)
3 The Ramanujan Journal
2 Rocky Mountain Journal of Mathematics
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 European Journal of Combinatorics
2 Advances in Applied Mathematics
2 Communications in Partial Differential Equations
2 Kyushu Journal of Mathematics
2 The Electronic Journal of Combinatorics
2 Journal of the European Mathematical Society (JEMS)
2 RAIRO. Theoretical Informatics and Applications
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Number Theory
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Nonlinearity
1 Physics Reports
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Duke Mathematical Journal
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Tokyo Journal of Mathematics
1 International Journal of Foundations of Computer Science
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Topological Methods in Nonlinear Analysis
1 Annales Mathématiques Blaise Pascal
1 The New York Journal of Mathematics
1 Séminaire Lotharingien de Combinatoire
1 Computing and Visualization in Science
1 Nonlinear Dynamics
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 Regular and Chaotic Dynamics
1 Journal of High Energy Physics
1 Integers
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of the Australian Mathematical Society
1 Advanced Nonlinear Studies
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Fixed Point Theory and Applications
1 Logical Methods in Computer Science
1 RAIRO. Theoretical Informatics and Applications
1 Annales Mathématiques du Québec
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year