# zbMATH — the first resource for mathematics

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 Documents Indexed: 51 Publications since 2002 Reviewing Activity: 22 Reviews
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#### Co-Authors

 11 single-authored 19 Bugeaud, Yann 7 Bell, Jason P. 3 Cassaigne, Julien 3 Faverjon, Colin 2 Delaygue, Éric 2 Luca, Florian 2 Rivoal, Tanguy 2 Siegel, Anne 2 Steiner, Wolfgang 1 Allouche, Jean-Paul Simon 1 Damanik, David 1 Davison, Les 1 Frougny, Christiane 1 Jouhet, Frédéric 1 Le Gonidec, Marion 1 Octavia, Gaël 1 Rampersad, Narad
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#### Serials

 3 Acta Arithmetica 3 Annales de l’Institut Fourier 3 Bulletin of the London Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Journal de Théorie des Nombres de Bordeaux 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Glasnik Matematički. Serija III 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Fizikos ir Matematikos Fakulteto Mokslinio Seminaro Darbai 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Actes des Rencontres du C.I.R.M.
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#### Fields

 47 Number theory (11-XX) 15 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

45 Publications have been cited 444 times in 249 Documents Cited by Year
On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094
2007
On the complexity of algebraic numbers. II: Continued fractions. Zbl 1195.11093
2005
On the complexity of algebraic numbers. Zbl 1119.11019
Adamczewski, Boris; Bugeaud, Yann; Luca, Florian
2004
Balances for fixed points of primitive substitutions. Zbl 1059.68083
2003
Symbolic discrepancy and self-similar dynamics. Zbl 1066.11032
2004
Diophantine properties of real numbers generated by finite automata. Zbl 1134.11011
2006
Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. Zbl 1200.11054
2010
Dynamics for $$\beta$$-shifts and Diophantine approximation. Zbl 1140.11035
2007
Rotation encoding and self-similarity phenomenon. Zbl 1113.37003
2002
Irrationality measures for some automatic real numbers. Zbl 1205.11080
2009
Palindromic continued fractions. Zbl 1126.11036
2007
Distribution of the sequence $$(n\alpha)_{n\in{\mathbb N}}$$ and substitutions. Zbl 1060.11043
2004
On the Maillet-Baker continued fractions. Zbl 1145.11054
2007
Mahler method: linear relations, transcendence and applications to automatic numbers. Zbl 1440.11132
2017
On vanishing coefficients of algebraic power series over fields of positive characteristic. Zbl 1257.11027
2012
Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053
2010
Reversals and palindromes in continued fractions. Zbl 1118.68110
2007
On the Littlewood conjecture in simultaneous Diophantine approximation. Zbl 1093.11052
2006
An analogue of Cobham’s theorem for fractals. Zbl 1229.28007
2011
Rational numbers with purely periodic $$\beta$$-expansion. Zbl 1211.11010
Adamczewski, Boris; Frougny, Christiane; Siegel, Anne; Steiner, Wolfgang
2010
On the expansion of some exponential periods in an integer base. Zbl 1247.11095
2010
Diagonalization and rationalization of algebraic Laurent series. Zbl 1318.13033
2013
Real numbers of sublinear complexity: irrationality and transcendence measures. Zbl 1255.11037
2011
A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330
2007
Linearly recurrent circle map subshifts and an application to Schrödinger operators. Zbl 1023.47019
2002
A Liouville-like approach for the transcendence of some real numbers. Zbl 1046.11051
2004
On the transcendence of real numbers with a regular expansion. Zbl 1052.11052
2003
A problem about Mahler functions. Zbl 1432.11086
2017
Non-zero digits in the expansion of irrational algebraic numbers in an integer base. Zbl 1264.11067
2012
Non-converging continued fractions related to the Stern diatomic sequence. Zbl 1210.11077
2010
Continued fractions and transcendental numbers. Zbl 1152.11034
Adamczewski, Boris; Bugeaud, Yann; Davison, Les
2006
Congruences modulo cyclotomic polynomials and algebraic independence for $$q$$-series. Zbl 1405.11019
Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric; Jouhet, Frédéric
2017
Function fields in positive characteristic: expansions and Cobham’s theorem. Zbl 1151.11060
2008
Real and $$p$$-adic expansions involving symmetric patterns. Zbl 1113.11041
2006
On patterns occurring in binary algebraic numbers. Zbl 1151.11036
2008
Algebraic independence of $$G$$-functions and congruences “à la Lucas”. Zbl 1450.11075
Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric
2019
Mahler’s method, transcendence and linear relations: effective aspects. Zbl 1441.11179
2018
Exceptional values of $$E$$-functions at algebraic points. Zbl 1450.11076
2018
Transcendence and Diophantine approximation. Zbl 1271.11073
2010
On the decimal expansion of algebraic numbers. Zbl 1138.11028
2005
On powers of words occurring in binary codings of rotations. Zbl 1113.37002
2005
The many faces of the Kempner number. Zbl 1286.11109
2013
On the Littlewood conjecture in fields of power series. Zbl 1223.11083
2007
On the density exponent of algebraic numbers. Zbl 1124.11035
2007
On the independence of expansions of algebraic numbers in an integer base. Zbl 1120.11003
2007
Algebraic independence of $$G$$-functions and congruences “à la Lucas”. Zbl 1450.11075
Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric
2019
Mahler’s method, transcendence and linear relations: effective aspects. Zbl 1441.11179
2018
Exceptional values of $$E$$-functions at algebraic points. Zbl 1450.11076
2018
Mahler method: linear relations, transcendence and applications to automatic numbers. Zbl 1440.11132
2017
A problem about Mahler functions. Zbl 1432.11086
2017
Congruences modulo cyclotomic polynomials and algebraic independence for $$q$$-series. Zbl 1405.11019
Adamczewski, Boris; Bell, Jason P.; Delaygue, Éric; Jouhet, Frédéric
2017
Diagonalization and rationalization of algebraic Laurent series. Zbl 1318.13033
2013
The many faces of the Kempner number. Zbl 1286.11109
2013
On vanishing coefficients of algebraic power series over fields of positive characteristic. Zbl 1257.11027
2012
Non-zero digits in the expansion of irrational algebraic numbers in an integer base. Zbl 1264.11067
2012
An analogue of Cobham’s theorem for fractals. Zbl 1229.28007
2011
Real numbers of sublinear complexity: irrationality and transcendence measures. Zbl 1255.11037
2011
Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. Zbl 1200.11054
2010
Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053
2010
Rational numbers with purely periodic $$\beta$$-expansion. Zbl 1211.11010
Adamczewski, Boris; Frougny, Christiane; Siegel, Anne; Steiner, Wolfgang
2010
On the expansion of some exponential periods in an integer base. Zbl 1247.11095
2010
Non-converging continued fractions related to the Stern diatomic sequence. Zbl 1210.11077
2010
Transcendence and Diophantine approximation. Zbl 1271.11073
2010
Irrationality measures for some automatic real numbers. Zbl 1205.11080
2009
Function fields in positive characteristic: expansions and Cobham’s theorem. Zbl 1151.11060
2008
On patterns occurring in binary algebraic numbers. Zbl 1151.11036
2008
On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094
2007
Dynamics for $$\beta$$-shifts and Diophantine approximation. Zbl 1140.11035
2007
Palindromic continued fractions. Zbl 1126.11036
2007
On the Maillet-Baker continued fractions. Zbl 1145.11054
2007
Reversals and palindromes in continued fractions. Zbl 1118.68110
2007
A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330
2007
On the Littlewood conjecture in fields of power series. Zbl 1223.11083
2007
On the density exponent of algebraic numbers. Zbl 1124.11035
2007
On the independence of expansions of algebraic numbers in an integer base. Zbl 1120.11003
2007
Diophantine properties of real numbers generated by finite automata. Zbl 1134.11011
2006
On the Littlewood conjecture in simultaneous Diophantine approximation. Zbl 1093.11052
2006
Continued fractions and transcendental numbers. Zbl 1152.11034
Adamczewski, Boris; Bugeaud, Yann; Davison, Les
2006
Real and $$p$$-adic expansions involving symmetric patterns. Zbl 1113.11041
2006
On the complexity of algebraic numbers. II: Continued fractions. Zbl 1195.11093
2005
On the decimal expansion of algebraic numbers. Zbl 1138.11028
2005
On powers of words occurring in binary codings of rotations. Zbl 1113.37002
2005
On the complexity of algebraic numbers. Zbl 1119.11019
Adamczewski, Boris; Bugeaud, Yann; Luca, Florian
2004
Symbolic discrepancy and self-similar dynamics. Zbl 1066.11032
2004
Distribution of the sequence $$(n\alpha)_{n\in{\mathbb N}}$$ and substitutions. Zbl 1060.11043
2004
A Liouville-like approach for the transcendence of some real numbers. Zbl 1046.11051
2004
Balances for fixed points of primitive substitutions. Zbl 1059.68083
2003
On the transcendence of real numbers with a regular expansion. Zbl 1052.11052
2003
Rotation encoding and self-similarity phenomenon. Zbl 1113.37003
2002
Linearly recurrent circle map subshifts and an application to Schrödinger operators. Zbl 1023.47019
2002
all top 5

#### Cited by 295 Authors

 29 Bugeaud, Yann 24 Adamczewski, Boris 9 Bell, Jason P. 9 Coons, Michael 9 Pelantová, Edita 7 Masáková, Zuzana 6 Berthé, Valérie 6 Cassaigne, Julien 6 Rigo, Michel 6 Rivoal, Tanguy 5 Rampersad, Narad 5 Shallit, Jeffrey O. 5 Thuswaldner, Jörg Maximilian 5 Zamboni, Luca Quardo 4 Bufetov, Aleksandr Igorevich 4 Dubickas, Artūras 4 Hbaib, Mohamed 4 Le Gonidec, Marion 4 Turek, Ondřej 4 Wen, Zhixiong 4 Wu, Wen 3 Allouche, Jean-Paul Simon 3 Badziahin, Dzmitry A. 3 Charlier, Emilie 3 Damanik, David 3 Fischler, Stéphane 3 Hubert, Pascal 3 Labbé, Sébastien 3 Lenz, Daniel H. 3 Leroy, Julien 3 Richomme, Gwénaël 3 Rowland, Eric S. 3 Schleischitz, Johannes 3 Simonsen, Jakob Grue 3 Solomyak, Boris 3 Steiner, Wolfgang 3 Vuillon, Laurent 2 Ambrož, Petr 2 Balková, L’ubomíra 2 Bertazzon, Jean-Francois 2 Blondin Massé, Alexandre 2 Bressaud, Xavier 2 Brlek, Srečko 2 Bundschuh, Peter 2 Chen, Jin 2 Chyzak, Frédéric 2 Dumas, Philippe 2 Durand, Fabien 2 Fang, Lulu 2 Faverjon, Colin 2 Fernandes, Gwladys 2 Fici, Gabriele 2 Glen, Amy 2 Guo, Yingjun 2 Hieronymi, Philipp 2 Kaneko, Hajime 2 Kim, Donghan 2 Kumar, Veekesh 2 Meher, Nabin Kumar 2 Nathanson, Melvyn Bernard 2 Puzynina, Svetlana 2 Rond, Guillaume 2 Roy, Damien 2 Saari, Kalle 2 Salimov, Pavel Vadimovich 2 Scheicher, Klaus 2 Schmidt, Thomas A. 2 Shutov, Anton V. 2 Siegel, Anne 2 Starosta, Štěpán 2 Straub, Armin 2 Surer, Paul 2 Väänänen, Keijo O. 2 Walsberg, Erik 2 Wu, Min 2 Yassawi, Reem 2 Zorin, Evgeniy V. 1 Abbes, Farah 1 Aliste-Prieto, José 1 Ammous, Basma 1 Amou, Masaaki 1 Aroca, Fuensanta 1 Avgustinovich, Sergeĭ Vladimirovich 1 Baake, Michael 1 Bailey, David Harold 1 Baker, Simon 1 Banderier, Cyril 1 Barat, Guy 1 Baxa, Christoph 1 Belhadef, Rafik 1 Bengoechea, Paloma 1 Berlinkov, Artemi 1 Bernat, Julien 1 Blanchet-Sadri, Francine 1 Bonanno, Claudio 1 Borisyuk, Alla 1 Borwein, Jonathan Michael 1 Bostan, Alin 1 Bourdon, Jérémie 1 Boyland, Philip L. ...and 195 more Authors
all top 5

#### Cited in 93 Serials

 22 Theoretical Computer Science 13 Journal de Théorie des Nombres de Bordeaux 12 Proceedings of the American Mathematical Society 12 Ergodic Theory and Dynamical Systems 10 Annales de l’Institut Fourier 7 Journal of Number Theory 7 RAIRO. Theoretical Informatics and Applications 6 Advances in Mathematics 6 Transactions of the American Mathematical Society 6 Advances in Applied Mathematics 6 Journal of the European Mathematical Society (JEMS) 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 International Journal of Foundations of Computer Science 5 Indagationes Mathematicae. New Series 4 Bulletin of the Australian Mathematical Society 4 Mathematische Zeitschrift 3 Communications in Mathematical Physics 3 Acta Arithmetica 3 Journal für die Reine und Angewandte Mathematik 3 Documenta Mathematica 3 Journal of the Australian Mathematical Society 3 International Journal of Number Theory 3 RAIRO. Theoretical Informatics and Applications 3 Actes des Rencontres du C.I.R.M. 2 Discrete Applied Mathematics 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Canadian Journal of Mathematics 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 European Journal of Combinatorics 2 Fractals 2 The Ramanujan Journal 2 Theory of Computing Systems 2 Annals of Combinatorics 2 Integers 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Notre Dame Journal of Formal Logic 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Acta Mathematica Hungarica 1 Physica D 1 Journal of Symbolic Computation 1 Information and Computation 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Finite Fields and their Applications 1 The Bulletin of Symbolic Logic 1 Séminaire Lotharingien de Combinatoire 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Chaos 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Modern Dynamics 1 Logical Methods in Computer Science 1 Algebra & Number Theory 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications
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#### Cited in 30 Fields

 166 Number theory (11-XX) 82 Computer science (68-XX) 53 Dynamical systems and ergodic theory (37-XX) 20 Combinatorics (05-XX) 17 Measure and integration (28-XX) 10 Commutative algebra (13-XX) 9 Mathematical logic and foundations (03-XX) 8 Algebraic geometry (14-XX) 8 Convex and discrete geometry (52-XX) 5 Difference and functional equations (39-XX) 4 Field theory and polynomials (12-XX) 4 Approximations and expansions (41-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)