Edit Profile (opens in new tab) Fischler, Stéphane Compute Distance To: Compute Author ID: fischler.stephane 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 all top 5 Co-Authors 16 single-authored 15 Rivoal, Tanguy 3 Nakamaye, Michael 3 Zudilin, Wadim 2 Bounemoura, Abed Bounemoura 2 Cresson, Jacky 2 Sprang, Johannes 1 Gaudron, Éric 1 Hussain, Mumtaz 1 Khémira, Samy 1 Kristensen, Simon 1 Levesley, Jason all top 5 Serials 3 Manuscripta Mathematica 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 1 Acta Arithmetica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Kyushu Journal of Mathematics 1 The Ramanujan Journal 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Séminaires et Congrès 1 Annales Mathématiques du Québec 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 39 Number theory (11-XX) 9 Special functions (33-XX) 6 Ordinary differential equations (34-XX) 5 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 192 times in 119 Documents Cited by ▼ Year ▼ Palindromic prefixes and episturmian words. Zbl 1109.68082Fischler, Stéphane 22 2006 Palindromic prefixes and Diophantine approximation. Zbl 1124.11032Fischler, Stéphane 13 2007 A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088Fischler, Stéphane; Zudilin, Wadim 13 2010 Irrationality of zeta values (following Apéry, Rivoal, \(\dots\)). (Irrationalité de valeurs de zêta (d’après Apéry, Rivoal, \(\dots\)).) Zbl 1101.11024Fischler, Stéphane 12 2004 Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) Zbl 1064.11053Fischler, S.; Rivoal, T. 11 2003 On the values of \(G\)-functions. Zbl 1304.11070Fischler, Stéphane; Rivoal, Tanguy 10 2014 A Diophantine duality applied to the KAM and Nekhoroshev theorems. Zbl 1308.37028Bounemoura, Abed; Fischler, Stéphane 9 2013 Many odd zeta values are irrational. Zbl 1430.11097Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 7 2019 A converse to linear independence criteria, valid almost everywhere. Zbl 1387.11062Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J. 6 2015 Irrationality exponent and rational approximations with prescribed growth. Zbl 1222.11094Fischler, Stéphane; Rivoal, Tanguy 6 2010 Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) Zbl 1161.33003Cresson, 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 1398.11109Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 6 2018 Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) Zbl 1370.11090Fischler, Stéphane; Rivoal, Tanguy 5 2016 A density exponent in rational approximation. (Un exposant de densité en approximation rationnelle.) Zbl 1147.11039Fischler, Stéphane; Rivoal, Tanguy 5 2006 The classical KAM theorem for Hamiltonian systems via rational approximations. Zbl 1339.37042Bounemoura, Abed; Fischler, Stéphane 5 2014 Linear forms in multiple zeta values and multiple integrals. (Formes linéaires en polyzêtas et intégrales multiples.) Zbl 1017.11048Fischler, Stéphane 5 2002 Nesterenko’s linear independence criterion for vectors. Zbl 1322.11080Fischler, Stéphane 4 2015 Restricted rational approximation and Apéry-type constructions. Zbl 1198.11057Fischler, Stéphane 4 2009 Symmetry phenomena in linear forms in multiple zeta values. (Phénomènes de symétrie dans des formes linéaires en polyzêtas.) Zbl 1227.11097Cresson, 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 1073.11048Fischler, Stéphane 4 2004 Interpolation on algebraic groups. Zbl 1080.14054Fischler, S. 4 2005 Nesterenko’s criterion when the small linear forms oscillate. Zbl 1323.11051Fischler, Stéphane 3 2012 Rhin-Viola groups and multiple integrals. (Groupes de Rhin-Viola et intégrales multiples.) Zbl 1074.11040Fischler, Stéphane 3 2003 Linear independence of values of \(G\)-functions. Zbl 1446.11136Fischler, Stéphane; Rivoal, Tanguy 3 2020 On the denominators of the Taylor coefficients of \(G\)-functions. Zbl 1415.11098Fischler, Stéphane; Rivoal, Tanguy 3 2017 Microsolutions of differential operators and values of arithmetic Gevrey series. Zbl 1431.11093Fischler, S.; Rivoal, T. 3 2018 Multiple zeta values, Padé approximation and Vasilyev’s conjecture. Zbl 1412.11104Fischler, Stéphane; Rivoal, Tanguy 2 2016 Multiple series connected to Hoffman’s conjecture on multiple zeta values. Zbl 1186.11051Fischler, S. 2 2008 Rational approximation to values of \(G\)-functions, and their expansions in integer bases. Zbl 1393.11054Fischler, S.; Rivoal, T. 2 2018 Irrationality of values of \(L\)-functions of Dirichlet characters. Zbl 1448.11137Fischler, Stéphane 2 2020 Shidlovsky’s multiplicity estimate and irrationality of zeta values. Zbl 1432.11084Fischler, Stéphane 2 2018 Connecting interpolation and multiplicity estimates in commutative algebraic groups. Zbl 1347.11054Fischler, S.; Nakamaye, M. 1 2016 Values of globally bounded \(G\)-functions. Zbl 1441.11183Fischler, S.; Rivoal, T. 1 2019 Seshadri constants and interpolation on commutative algebraic groups. (Constantes de Seshadri et interpolation dans les groupes algèbriques commutatifs.) Zbl 1330.14076Fischler, Stéphane; Nakamaye, Michael 1 2014 Orbits under algebraic groups and logarithms of algebraic numbers. Zbl 0987.11045Fischler, Stéphane 1 2001 Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. Zbl 1476.11099Fischler, S.; Rivoal, T. 1 2021 Erratum to: “Rational approximation to values of \(G\)-functions, and their expansions in integer bases”. Zbl 1393.11055Fischler, S.; Rivoal, T. 1 2018 Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. Zbl 1476.11099Fischler, S.; Rivoal, T. 1 2021 Linear independence of values of \(G\)-functions. Zbl 1446.11136Fischler, Stéphane; Rivoal, Tanguy 3 2020 Irrationality of values of \(L\)-functions of Dirichlet characters. Zbl 1448.11137Fischler, Stéphane 2 2020 Many odd zeta values are irrational. Zbl 1430.11097Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 7 2019 Values of globally bounded \(G\)-functions. Zbl 1441.11183Fischler, 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 1398.11109Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 6 2018 Microsolutions of differential operators and values of arithmetic Gevrey series. Zbl 1431.11093Fischler, S.; Rivoal, T. 3 2018 Rational approximation to values of \(G\)-functions, and their expansions in integer bases. Zbl 1393.11054Fischler, S.; Rivoal, T. 2 2018 Shidlovsky’s multiplicity estimate and irrationality of zeta values. Zbl 1432.11084Fischler, Stéphane 2 2018 Erratum to: “Rational approximation to values of \(G\)-functions, and their expansions in integer bases”. Zbl 1393.11055Fischler, S.; Rivoal, T. 1 2018 On the denominators of the Taylor coefficients of \(G\)-functions. Zbl 1415.11098Fischler, Stéphane; Rivoal, Tanguy 3 2017 Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) Zbl 1370.11090Fischler, Stéphane; Rivoal, Tanguy 5 2016 Multiple zeta values, Padé approximation and Vasilyev’s conjecture. Zbl 1412.11104Fischler, Stéphane; Rivoal, Tanguy 2 2016 Connecting interpolation and multiplicity estimates in commutative algebraic groups. Zbl 1347.11054Fischler, S.; Nakamaye, M. 1 2016 A converse to linear independence criteria, valid almost everywhere. Zbl 1387.11062Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J. 6 2015 Nesterenko’s linear independence criterion for vectors. Zbl 1322.11080Fischler, Stéphane 4 2015 On the values of \(G\)-functions. Zbl 1304.11070Fischler, Stéphane; Rivoal, Tanguy 10 2014 The classical KAM theorem for Hamiltonian systems via rational approximations. Zbl 1339.37042Bounemoura, Abed; Fischler, Stéphane 5 2014 Seshadri constants and interpolation on commutative algebraic groups. (Constantes de Seshadri et interpolation dans les groupes algèbriques commutatifs.) Zbl 1330.14076Fischler, Stéphane; Nakamaye, Michael 1 2014 A Diophantine duality applied to the KAM and Nekhoroshev theorems. Zbl 1308.37028Bounemoura, Abed; Fischler, Stéphane 9 2013 Nesterenko’s criterion when the small linear forms oscillate. Zbl 1323.11051Fischler, Stéphane 3 2012 A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088Fischler, Stéphane; Zudilin, Wadim 13 2010 Irrationality exponent and rational approximations with prescribed growth. Zbl 1222.11094Fischler, Stéphane; Rivoal, Tanguy 6 2010 Restricted rational approximation and Apéry-type constructions. Zbl 1198.11057Fischler, Stéphane 4 2009 Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) Zbl 1161.33003Cresson, 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 1227.11097Cresson, J.; Fischler, S.; Rivoal, T. 4 2008 Multiple series connected to Hoffman’s conjecture on multiple zeta values. Zbl 1186.11051Fischler, S. 2 2008 Palindromic prefixes and Diophantine approximation. Zbl 1124.11032Fischler, Stéphane 13 2007 Palindromic prefixes and episturmian words. Zbl 1109.68082Fischler, Stéphane 22 2006 A density exponent in rational approximation. (Un exposant de densité en approximation rationnelle.) Zbl 1147.11039Fischler, Stéphane; Rivoal, Tanguy 5 2006 Interpolation on algebraic groups. Zbl 1080.14054Fischler, S. 4 2005 Irrationality of zeta values (following Apéry, Rivoal, \(\dots\)). (Irrationalité de valeurs de zêta (d’après Apéry, Rivoal, \(\dots\)).) Zbl 1101.11024Fischler, 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 1073.11048Fischler, Stéphane 4 2004 Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) Zbl 1064.11053Fischler, S.; Rivoal, T. 11 2003 Rhin-Viola groups and multiple integrals. (Groupes de Rhin-Viola et intégrales multiples.) Zbl 1074.11040Fischler, Stéphane 3 2003 Linear forms in multiple zeta values and multiple integrals. (Formes linéaires en polyzêtas et intégrales multiples.) Zbl 1017.11048Fischler, Stéphane 5 2002 Orbits under algebraic groups and logarithms of algebraic numbers. Zbl 0987.11045Fischler, Stéphane 1 2001 all cited Publications top 5 cited Publications 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 all top 5 Cited in 25 Fields 86 Number theory (11-XX) 26 Special functions (33-XX) 21 Computer science (68-XX) 11 Ordinary differential equations (34-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Approximations and expansions (41-XX) 7 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 2 Mathematical logic and foundations (03-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year