Edit Profile (opens in new tab) Bugeaud, Yann Compute Distance To: Compute Author ID: bugeaud.yann Published as: Bugeaud, Yann; Bugeaud, Y. Homepage: http://irma.math.unistra.fr/~bugeaud/ External Links: MGP · ORCID · Math-Net.Ru · dblp · GND Documents Indexed: 232 Publications since 1993, including 6 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 96 Co-Authors with 156 Joint Publications 2,551 Co-Co-Authors all top 5 Co-Authors 80 single-authored 32 Mignotte, Maurice 19 Adamczewski, Boris 12 Siksek, Samir 10 Luca, Florian 7 Cipu, Mihai 7 Kim, Donghan 6 Bonciocat, Nicolae Ciprian 6 Coons, Michael 6 Laurent, Michel 5 Dujella, Andrej 4 Amou, Masaaki 4 Bennett, Michael A. 4 Borwein, Jonathan Michael 4 Evertse, Jan-Hendrik 4 Győry, Kálmán 3 Badziahin, Dzmitry A. 3 de Mathan, Bernard 3 Hanrot, Guillaume 3 Kekeç, Gülcan 3 Kristensen, Simon 3 Pejković, Tomislav 2 Becher, Verónica 2 Bell, Jason P. 2 Bilu, Yuri F. 2 Bonciocat, Anca Iuliana 2 Chevallier, Nicolas 2 Conze, Jean-Pierre 2 Drmota, Michael 2 Dubickas, Artūras 2 Han, Guo-Niu 2 Kaneko, Hajime 2 Kleinbock, Dmitry Ya. 2 Liao, Lingmin 2 Moreira, Carlos Gustavo Tamm de Araujo 2 Moshchevitin, Nikolay G. 2 Rams, Michał 2 Roy, Yves 2 Schleischitz, Johannes 2 Shorey, Tarlok Nath 2 Slaman, Theodore A. 2 Velani, Sanju L. 2 Yao, Jiayan 2 Zannier, Umberto M. 2 Zhang, Zhenliang 1 Abu Muriefah, Fadwa S. 1 Alniaçik, Kamil 1 Avci, Yusuf 1 Baake, Michael 1 Badziahin, Dmitry 1 Bringmann, Kathrin 1 Broderick, Ryan 1 Budarina, Natalia Viktorovna 1 Cao, Zhenfu 1 Cheung, Yitwah 1 Cohen, Henri 1 Corvaja, Pietro 1 Dal’bo, Françoise 1 Davison, Les 1 Dickinson, Detta 1 Dodson, Michael Maurice 1 Druţu, Cornelia 1 Duquesne, Sylvain 1 Durand, Arnaud 1 Einsiedler, Manfred Leopold 1 Fishman, Lior 1 Gyarmati, Katalin 1 Habegger, Philipp 1 Hajdu, Lajos 1 Harrap, Stephen B. 1 Haynes, Alan K. 1 Hilberdink, Titus W. 1 Hubert, Pascal 1 Ivić, Aleksandar 1 Krieger, Dalia 1 Lee, Seul Bee 1 Levesque, Claude 1 Lim, Seonhee 1 Mihăilescu, Preda 1 Nesterenko, Yuriĭ Valentinovich 1 Nogueira, Arnaldo C. R. 1 Normandin, Frédéric 1 O’Donnell, Hugh 1 Queffelec, Martine 1 Reutenauer, Christophe 1 Salvy, Bruno 1 Sander, Jürgen W. 1 Schmidt, Thomas A. 1 Shallit, Jeffrey O. 1 Singhal, L. C. 1 Stoll, Michael 1 Szpankowski, Wojciech 1 Tengely, Szabolcs 1 Teulié, Olivier 1 Waldschmidt, Michel 1 Wang, Baowei 1 Weber, Michel Jean Georges 1 Weiss, Barak 1 Wen, Zhi-Ying all top 5 Serials 21 Acta Arithmetica 8 Mathematical Proceedings of the Cambridge Philosophical Society 6 Annales de l’Institut Fourier 6 Mathematika 5 Compositio Mathematica 5 Proceedings of the American Mathematical Society 5 Publicationes Mathematicae Debrecen 5 Journal de Théorie des Nombres de Bordeaux 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 International Journal of Number Theory 4 Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Zeitschrift 4 Pacific Journal of Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Indagationes Mathematicae. New Series 3 Bulletin of the Australian Mathematical Society 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Annalen 3 Michigan Mathematical Journal 3 Monatshefte für Mathematik 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Mathematica Hungarica 3 IMRN. International Mathematics Research Notices 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Documenta Mathematica 3 Journal of the European Mathematical Society (JEMS) 3 Cambridge Tracts in Mathematics 2 American Mathematical Monthly 2 Glasgow Mathematical Journal 2 Mathematica Scandinavica 2 Ergodic Theory and Dynamical Systems 2 Glasnik Matematički. Serija III 2 The New York Journal of Mathematics 2 The Ramanujan Journal 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Annals of Mathematics. Second Series 2 Integers 2 Journal of the Australian Mathematical Society 2 Moscow Mathematical Journal 2 Oberwolfach Reports 1 Communications in Algebra 1 IEEE Transactions on Information Theory 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 The Australian Mathematical Society Gazette 1 Bulletin de la Société Mathématique de France 1 Bulletin de la Société Royale des Sciences de Liège 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Revista Colombiana de Matemáticas 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Bulletin of the Greek Mathematical Society 1 Hardy-Ramanujan Journal 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Istanbul Üniversitesi Fen Fakültesi Matematik Dergisi 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 Notices of the American Mathematical Society 1 Kyushu Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 Mathematical Research Letters 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 European Mathematical Society Newsletter 1 RIMS Kokyuroku 1 Journal of Integer Sequences 1 The Quarterly Journal of Mathematics 1 Fizikos ir Matematikos Fakulteto Mokslinio Seminaro Darbai 1 Graduate Texts in Mathematics 1 Séminaires et Congrès 1 IRMA Lectures in Mathematics and Theoretical Physics 1 Algebra & Number Theory 1 Uniform Distribution Theory 1 Moscow Journal of Combinatorics and Number Theory 1 Annales Mathématiques du Québec 1 Journal of Fractal Geometry 1 EMS Series of Lectures in Mathematics all top 5 Fields 234 Number theory (11-XX) 13 Computer science (68-XX) 11 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 4 Combinatorics (05-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 193 Publications have been cited 1,993 times in 1,133 Documents Cited by ▼ Year ▼ Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 150 2006 Approximation by algebraic numbers. Zbl 1055.11002Bugeaud, Yann 125 2004 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002Cohen, Henri 97 2007 Distribution modulo one and Diophantine approximation. Zbl 1260.11001Bugeaud, Yann 63 2012 On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094Adamczewski, Boris; Bugeaud, Yann 62 2007 An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\). Zbl 1021.11001Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto 41 2003 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 39 2006 Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062Bugeaud, Yann; Wang, Bao-Wei 34 2014 Diophantine approximation and Cantor sets. Zbl 1163.11056Bugeaud, Yann 33 2008 Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333Bugeaud, Yann; Laurent, Michel 31 2005 On the complexity of algebraic numbers. (Sur la complexité des nombres algébriques.) Zbl 1119.11019Adamczewski, Boris; Bugeaud, Yann; Luca, Florian 30 2004 On the complexity of algebraic numbers. II: Continued fractions. Zbl 1195.11093Adamczewski, Boris; Bugeaud, Yann 29 2005 Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers. (Minoration effective de la distance \(p\)-adique entre puissances de nombres algébriques.) Zbl 0870.11045Bugeaud, Y.; Laurent, M. 29 1996 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 29 2008 On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027Bugeaud, Yann; Shorey, T. N. 27 2001 Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024Bugeaud, Yann; Györy, Kálmán 25 1996 Approximation by algebraic integers and Hausdorff dimension. Zbl 1020.11049Bugeaud, Yann 23 2002 On simple \(K_4\)-groups. Zbl 0989.20017Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice 23 2001 On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039Bugeaud, Yann; Laurent, Michel 23 2005 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 22 2008 On the rational approximation to the Thue-Morse-Mahler numbers. (Sur l’approximation rationnelle des nombres de Thue-Morse-Mahler.) Zbl 1271.11074Bugeaud, Yann 22 2011 On a property of Pisot numbers and related questions. Zbl 0923.11148Bugeaud, Y. 21 1996 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 20 2010 Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. (Mesures de transcendance et aspects quantitatifs de la méthode de Thue-Siegel-Roth-Schmidt.) Zbl 1200.11054Adamczewski, Boris; Bugeaud, Yann 19 2010 On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice 19 2007 Dynamics for \(\beta \)-shifts and Diophantine approximation. Zbl 1140.11035Adamczewski, Boris; Bugeaud, Yann 18 2007 A note on inhomogeneous Diophantine approximation. Zbl 1039.11048Bugeaud, Yann 17 2003 On the distance between roots of integer polynomials. Zbl 1071.11016Bugeaud, Yann; Mignotte, Maurice 17 2004 On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju 17 2010 On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100Bugeaud, Yann 16 2010 Linear forms in \(p\)-adic logarithms and the diophantine equation \(\frac{x^n-1}{x-1} = y^q\). Zbl 0940.11019Bugeaud, Yann 16 1999 Root separation for irreducible integer polynomials. Zbl 1273.11049Bugeaud, Yann; Dujella, Andrej 16 2011 Sets of exact approximation order by rational numbers. Zbl 1044.11059Bugeaud, Yann 16 2003 Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan 15 2016 Linear mod one transformations and the distribution of fractional parts \(\{\xi(p/q)^n\}\). Zbl 1061.11041Bugeaud, Yann 15 2004 On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086Bugeaud, Yann; Laurent, Michel 15 2010 Bounds for the solutions of unit equations. Zbl 0861.11023Bugeaud, Yann; Györy, Kálmán 14 1996 On integers with identical digits. Zbl 1033.11012Bugeaud, Yann; Mignotte, Maurice 14 1999 Palindromic continued fractions. Zbl 1126.11036Adamczewski, Boris; Bugeaud, Yann 14 2007 On some exponential Diophantine equations. Zbl 1014.11023Bugeaud, Yann 13 2001 Bounds for the solutions of superelliptic equations. Zbl 0886.11016Bugeaud, Yann 13 1997 On a problem of Diophantus for higher powers. Zbl 1042.11019Bugeaud, Yann; Dujella, Andrej 12 2003 The Diophantine equation \(x^2 + c = y^n\) : a brief overview. Zbl 1189.11019Muriefah, Fadwa S. Abu; Bugeaud, Yann 12 2006 On the Maillet-Baker continued fractions. Zbl 1145.11054Adamczewski, Boris; Bugeaud, Yann 12 2007 Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037Amou, Masaaki; Bugeaud, Yann 12 2010 Intersective sets and Diophantine approximation. Zbl 1196.11103Bugeaud, Yann 11 2004 Uniform Diophantine approximation related to \(b\)-ary and \(\beta\)-expansions. Zbl 1354.37012Bugeaud, Yann; Liao, Lingmin 11 2016 Automatic continued fractions are transcendental or quadratic. (Les fractions continues automatiques sont transcendantes ou quadratiques.) Zbl 1292.11080Bugeaud, Yann 11 2013 Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053Adamczewski, Boris; Bugeaud, Yann 11 2010 Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 11 2012 Linear forms in logarithms and applications. Zbl 1394.11001Bugeaud, Yann 11 2018 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 11 2008 On two notions of complexity of algebraic numbers. Zbl 1236.11062Bugeaud, Yann; Evertse, Jan-Hendrik 11 2008 Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071Bugeaud, Yann; Moshchevitin, Nikolay 10 2011 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 On Pillai’s Diophantine equation. Zbl 1136.11026Bugeaud, Yann; Luca, Florian 10 2006 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 10 2008 On the Littlewood conjecture in simultaneous Diophantine approximation. Zbl 1093.11052Adamczewski, Boris; Bugeaud, Yann 10 2006 Multiplicative Diophantine approximation. Zbl 1266.11083Bugeaud, Yann 10 2009 Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak 10 2010 Exponents of diophantine approximation. Zbl 1229.11098Bugeaud, Yann; Laurent, Michel 10 2007 Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078Bugeaud, Yann 10 2012 Dynamic of some contracting, piecewise linear functions over \([0,1[\). (Dynamique de certaines applications contractantes, linéaires par morceaux, sur \([0,1[\).) Zbl 0802.46036Bugeaud, Yann 9 1993 Root separation for reducible integer polynomials. Zbl 1290.11056Bugeaud, Yann; Dujella, Andrej 9 2014 An inhomogeneous Jarník theorem. Zbl 1148.11035Bugeaud, Yann 9 2004 Fractional parts of powers and Sturmian words. Zbl 1140.11318Bugeaud, Yann; Dubickas, Artūras 9 2005 Computing the dynamics of contracting linear transformations mod 1 and Farey arcs. (Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey.) Zbl 0935.11008Bugeaud, Yann; Conze, Jean-Pierre 9 1999 Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey 9 2011 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 8 2007 On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1047.11028Bugeaud, Yann; Shorey, T. N. 8 2002 On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh 8 2011 Real numbers of sublinear complexity: irrationality and transcendence measures. (Nombres réels de complexité sous-linéaire : mesures d’irrationalité et de transcendance.) Zbl 1255.11037Adamczewski, Boris; Bugeaud, Yann 8 2011 On a mixed Littlewood conjecture in Diophantine approximation. Zbl 1209.11064Bugeaud, Yann; Drmota, Michael; de Mathan, Bernard 8 2007 A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008Bugeaud, Yann; Han, Guo-Niu 8 2014 The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). (L’équation de Nagell-Ljunggren \(\frac{x^n-1}{x-1}=y^q\).) Zbl 1040.11015Bugeaud, Yann; Mignotte, Maurice 8 2002 On generalizations of a problem of Diophantus. Zbl 1065.11015Bugeaud, Yann; Gyarmati, Katalin 7 2004 Linear forms in two \(m\)-adic logarithms and applications to Diophantine problems. Zbl 1171.11318Bugeaud, Yann 7 2002 On uniform approximation to real numbers. Zbl 1356.11042Bugeaud, Yann; Schleischitz, Johannes 7 2016 On the Diophantine equation \((x^ n-1)/(x-1)=y^ q\). III. (Sur l’équation diophantienne \((x^ n-1)/(x-1)=y^ q\). III.) Zbl 1102.11305Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice 7 2002 Approximation of a real number by algebraic numbers of given degree. (Approximation d’un nombre réel par des nombres algébriques de degré donné.) Zbl 0948.11029Bugeaud, Yann; Teulié, Olivier 7 2000 On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030Bugeaud, Yann; Mignotte, Maurice; Roy, Yves 7 2000 Sets of exact approximation order by rational numbers. III. Zbl 1211.11084Bugeaud, Yann; Moreira, Carlos Gustavo 7 2011 On the Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). Zbl 1151.11016Bugeaud, Yann; Mihăilescu, Preda 7 2007 A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330Adamczewski, Boris; Bugeaud, Yann 7 2007 Liouville numbers and normal numbers. (Nombres de Liouville et nombres normaux.) Zbl 1006.11043Bugeaud, Yann 6 2002 Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083Bugeaud, Yann; Durand, Arnaud 6 2016 On the quadratic Lagrange spectrum. Zbl 1358.11077Bugeaud, Yann 6 2014 Diophantine approximation of Mahler numbers. Zbl 1320.11064Bell, Jason P.; Bugeaud, Yann; Coons, Michael 6 2015 Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 6 2013 On simultaneous uniform approximation to a \(p\)-adic number and its square. Zbl 1204.11105Bugeaud, Yann 6 2010 A quantitative lower bound for the greatest prime factor of \((ab+1)(bc+1)(ca+1)\). Zbl 1122.11060Bugeaud, Yann; Luca, Florian 6 2004 Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069Bugeaud, Yann; Haynes, Alan; Velani, Sanju 6 2011 Mahler’s classification of numbers compared with Koksma’s. Zbl 1029.11034Bugeaud, Yann 6 2003 On Fibonacci numbers with few prime divisors. Zbl 1087.11009Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. Zbl 1409.68224Bugeaud, Yann; Kim, Dong Han 6 2019 Approximation by algebraic numbers. Zbl 1155.11003Bugeaud, Yann 6 2007 A new criterion for the Catalan equation. (Un nouveau critère pour l’équation de Catalan.) Zbl 1008.11011Bugeaud, Yann; Hanrot, Guillaume 5 2000 The equation \(\frac{x^n-1}{x-1}=y^q\) has no solution with \(x\) square. Zbl 0940.11020Bugeaud, Y.; Mignotte, M.; Roy, Y. 5 1999 On sequences \((a_n \xi)_{n \geq 1}\) converging modulo 1. Zbl 1266.11084Bugeaud, Yann 5 2009 Sets of exact approximation order by rational numbers. II. Zbl 1212.11071Bugeaud, Yann 5 2008 On simultaneous rational approximation to a real number and its integral powers. II. Zbl 1456.11123Badziahin, Dzmitry; Bugeaud, Yann 3 2020 Effective simultaneous rational approximation to pairs of real quadratic numbers. Zbl 1455.11095Bugeaud, Yann 1 2020 A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. Zbl 1409.68224Bugeaud, Yann; Kim, Dong Han 6 2019 On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series. Zbl 1436.11098Bugeaud, Yann; Zhang, Zhenliang 5 2019 Metrical results on the distribution of fractional parts of powers of real numbers. Zbl 1476.11104Bugeaud, Yann; Liao, Lingmin; Rams, Michał 4 2019 Hausdorff dimension and uniform exponents in dimension two. Zbl 1450.11081Bugeaud, Yann; Cheung, Yitwah; Chevallier, Nicolas 3 2019 Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields. Zbl 1465.11163Bugeaud, Yann 2 2019 On perfect powers in linear recurrence sequences of integers. Zbl 1480.11037Bugeaud, Yann; Kaneko, Hajime 1 2019 Linear forms in logarithms and applications. Zbl 1394.11001Bugeaud, Yann 11 2018 On the digital representation of smooth numbers. Zbl 1442.11017Bugeaud, Yann; Kaneko, Hajime 3 2018 Effective irrationality measures for real and \(p\)-adic roots of rational numbers close to \(1\), with an application to parametric families of Thue-Mahler equations. Zbl 1439.11172Bugeaud, Yann 1 2018 On the digital representation of integers with bounded prime factors. Zbl 1441.11015Bugeaud, Yann 1 2018 \(S\)-parts of values of univariate polynomials, binary forms and decomposable forms at integral points. Zbl 1410.11025Bugeaud, Yann; Evertse, Jan-Hendrik; Győry, Kálmán 1 2018 On Mahler’s classification of \(p\)-adic numbers. Zbl 1448.11130Bugeaud, Yann; Kekeç, Gülcan 1 2018 Absolute real root separation. Zbl 1391.11058Bugeaud, Yann; Dujella, Andrej; Pejković, Tomislav; Salvy, Bruno 3 2017 \(S\)-parts of terms of integer linear recurrence sequences. Zbl 1434.11042Bugeaud, Yann; Evertse, Jan-Hendrik 2 2017 On the expansions of real numbers in two multiplicatively dependent bases. Zbl 1437.11011Bugeaud, Yann; Kim, Dong Han 1 2017 Irreducibility criteria for compositions of polynomials with integer coefficients. Zbl 1360.11109Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 1 2017 On the expansions of real numbers in two integer bases. (Sur le développement des nombres réels en deux bases entières.) Zbl 1433.11004Bugeaud, Yann; Kim, Dong Han 1 2017 On the \(b\)-ary expansions of \(\log(1+\frac1a)\) and \(e\). Zbl 1434.11023Bugeaud, Yann; Kim, Dong Han 1 2017 Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan 15 2016 Uniform Diophantine approximation related to \(b\)-ary and \(\beta\)-expansions. Zbl 1354.37012Bugeaud, Yann; Liao, Lingmin 11 2016 On uniform approximation to real numbers. Zbl 1356.11042Bugeaud, Yann; Schleischitz, Johannes 7 2016 Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083Bugeaud, Yann; Durand, Arnaud 6 2016 Exponents of Diophantine approximation. Zbl 1406.11067Bugeaud, Yann 5 2016 The irrationality exponents of computable numbers. Zbl 1336.11053Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A. 4 2016 On simply normal numbers to different bases. Zbl 1343.11065Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A. 3 2016 Effective irrationality measures for quotients of logarithms of rational numbers. Zbl 1408.11072Bugeaud, Yann 3 2016 Diophantine approximation of Mahler numbers. Zbl 1320.11064Bell, Jason P.; Bugeaud, Yann; Coons, Michael 6 2015 On the complexity of a putative counterexample to the \(p\)-adic Littlewood conjecture. Zbl 1331.11049Badziahin, Dmitry; Bugeaud, Yann; Einsiedler, Manfred; Kleinbock, Dmitry 4 2015 Quadratic approximation in \(\mathbb{Q}_{p}\). Zbl 1307.11082Bugeaud, Yann; Pejković, Tomislav 4 2015 On the multiples of a badly approximable vector. Zbl 1325.11062Bugeaud, Yann 3 2015 Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 2 2015 Expansions of algebraic numbers. Zbl 1387.11045Bugeaud, Yann 2 2015 Quadratic approximation to automatic continued fractions. Zbl 1387.11051Bugeaud, Yann 1 2015 Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062Bugeaud, Yann; Wang, Bao-Wei 34 2014 Root separation for reducible integer polynomials. Zbl 1290.11056Bugeaud, Yann; Dujella, Andrej 9 2014 A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008Bugeaud, Yann; Han, Guo-Niu 8 2014 On the quadratic Lagrange spectrum. Zbl 1358.11077Bugeaud, Yann 6 2014 Perfect powers with three digits. Zbl 1372.11009Bennett, Michael A.; Bugeaud, Yann 4 2014 The problem of Catalan. Zbl 1315.11003Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice 4 2014 Around the Littlewood conjecture in Diophantine approximation. Zbl 1367.11059Bugeaud, Yann 3 2014 Automatic continued fractions are transcendental or quadratic. (Les fractions continues automatiques sont transcendantes ou quadratiques.) Zbl 1292.11080Bugeaud, Yann 11 2013 Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 6 2013 Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 5 2013 On rational approximation of the binary Thue-Morse-Mahler number. Zbl 1285.11100Bugeaud, Yann; Queffélec, Martine 2 2013 Transcendence with Rosen continued fractions. Zbl 1331.11054Bugeaud, Yann; Hubert, Pascal; Schmidt, Thomas A. 2 2013 On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 2 2013 Hausdorff dimension and Diophantine approximation. Zbl 1268.28008Bugeaud, Yann 1 2013 Distribution modulo one and Diophantine approximation. Zbl 1260.11001Bugeaud, Yann 63 2012 Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 11 2012 Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078Bugeaud, Yann 10 2012 On fractional parts of powers of real numbers close to 1. Zbl 1246.11134Bugeaud, Yann; Moshchevitin, Nikolay 5 2012 On the expansions of a real number to several integer bases. Zbl 1257.11008Bugeaud, Yann 4 2012 Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 2 2012 Effective results for restricted rational approximation to quadratic irrationals. Zbl 1306.11053Bennett, Michael A.; Bugeaud, Yann 2 2012 Variations around a problem of Mahler and Mendès France. Zbl 1254.11072Bugeaud, Yann 1 2012 On the rational approximation to the Thue-Morse-Mahler numbers. (Sur l’approximation rationnelle des nombres de Thue-Morse-Mahler.) Zbl 1271.11074Bugeaud, Yann 22 2011 Root separation for irreducible integer polynomials. Zbl 1273.11049Bugeaud, Yann; Dujella, Andrej 16 2011 Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071Bugeaud, Yann; Moshchevitin, Nikolay 10 2011 Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey 9 2011 On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh 8 2011 Real numbers of sublinear complexity: irrationality and transcendence measures. (Nombres réels de complexité sous-linéaire : mesures d’irrationalité et de transcendance.) Zbl 1255.11037Adamczewski, Boris; Bugeaud, Yann 8 2011 Sets of exact approximation order by rational numbers. III. Zbl 1211.11084Bugeaud, Yann; Moreira, Carlos Gustavo 7 2011 Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069Bugeaud, Yann; Haynes, Alan; Velani, Sanju 6 2011 Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel 2 2011 Quantitative versions of the subspace theorem and applications. Zbl 1272.11089Bugeaud, Yann 2 2011 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 20 2010 Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. (Mesures de transcendance et aspects quantitatifs de la méthode de Thue-Siegel-Roth-Schmidt.) Zbl 1200.11054Adamczewski, Boris; Bugeaud, Yann 19 2010 On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju 17 2010 On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100Bugeaud, Yann 16 2010 On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086Bugeaud, Yann; Laurent, Michel 15 2010 Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037Amou, Masaaki; Bugeaud, Yann 12 2010 Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053Adamczewski, Boris; Bugeaud, Yann 11 2010 Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak 10 2010 On simultaneous uniform approximation to a \(p\)-adic number and its square. Zbl 1204.11105Bugeaud, Yann 6 2010 Transcendence and Diophantine approximation. Zbl 1271.11073Adamczewski, Boris; Bugeaud, Yann 3 2010 Multiplicative Diophantine approximation. Zbl 1266.11083Bugeaud, Yann 10 2009 On sequences \((a_n \xi)_{n \geq 1}\) converging modulo 1. Zbl 1266.11084Bugeaud, Yann 5 2009 On the \(\beta \)-expansion of an algebraic number in an algebraic base \(\beta \). Zbl 1194.11022Bugeaud, Yann 4 2009 On the approximation to algebraic numbers by algebraic numbers. Zbl 1194.11076Bugeaud, Yann 2 2009 A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir 1 2009 Approximation of complex algebraic numbers by algebraic numbers of bounded degree. Zbl 1176.11031Bugeaud, Yann; Evertse, Jan-Hendrik 1 2009 Diophantine approximation and Cantor sets. Zbl 1163.11056Bugeaud, Yann 33 2008 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 29 2008 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 22 2008 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 11 2008 On two notions of complexity of algebraic numbers. Zbl 1236.11062Bugeaud, Yann; Evertse, Jan-Hendrik 11 2008 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 10 2008 Sets of exact approximation order by rational numbers. II. Zbl 1212.11071Bugeaud, Yann 5 2008 On a mixed Littlewood conjecture in fields of power series. Zbl 1147.11035Bugeaud, Yann; de Mathan, Bernard 4 2008 An explicit lower bound for the block complexity of an algebraic number. Zbl 1268.11099Bugeaud, Yann 3 2008 On a problem of Mahler and Szekeres on approximation by roots of integers. Zbl 1172.11023Bugeaud, Yann; Dubickas, Artūras 2 2008 Linear forms in the logarithms of algebraic numbers close to 1 and applications to Diophantine equations. Zbl 1194.11079Bugeaud, Yann 1 2008 Mahler’s classification of numbers compared with Koksma’s. II. Zbl 1214.11082Bugeaud, Yann 1 2008 Sums of the error term function in the mean square for \(\zeta (s)\). Zbl 1175.11046Bugeaud, Yann; Ivić, Aleksandar 1 2008 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002Cohen, Henri 97 2007 On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094Adamczewski, Boris; Bugeaud, Yann 62 2007 On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice 19 2007 Dynamics for \(\beta \)-shifts and Diophantine approximation. Zbl 1140.11035Adamczewski, Boris; Bugeaud, Yann 18 2007 ...and 93 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 948 Authors 94 Bugeaud, Yann 83 Luca, Florian 34 Togbé, Alain 32 Dubickas, Artūras 21 Marques, Diego 17 Adamczewski, Boris 16 Bennett, Michael A. 16 Schleischitz, Johannes 16 Wang, Baowei 15 Badziahin, Dzmitry A. 15 Keskin, Refik 15 Mignotte, Maurice 15 Siksek, Samir 14 Becher, Verónica 13 Simmons, David 12 Ziegler, Volker 11 Budarina, Natalia Viktorovna 11 Fishman, Lior 10 Bravo, Jhon Jairo 10 Coons, Michael 10 Erduvan, Fatih 10 Fujita, Yasutsugu Fujita 10 Gómez, Carlos Alexis 10 Roy, Damien 9 Bernik, Vasiliĭ Ivanovich 9 Cipu, Mihai 9 Ddamulira, Mahadi 9 Dujella, Andrej 9 Hajdu, Lajos 9 He, Bo 9 Wu, Jun 9 Zaïmi, Toufik Mostepha 8 Fischler, Stéphane 8 Hussain, Mumtaz 8 Kristensen, Simon 8 Laurent, Michel 8 Moshchevitin, Nikolay G. 8 Persson, Tomas 8 Pintér, Ákos 8 Shparlinski, Igor E. 8 Velani, Sanju L. 8 Yuan, Pingzhi 7 Carton, Olivier 7 Han, Guo-Niu 7 Kaliada, Dzianis 7 Rihane, Salah Eddine 7 Shallit, Jeffrey O. 7 Şiar, Zafer 7 Tengely, Szabolcs 7 Zhou, Qinglong 6 Fuchs, Clemens 6 Ghosh, Anish 6 Götze, Friedrich 6 Kaneko, Hajime 6 Kekeç, Gülcan 6 Kim, Donghan 6 Kleinbock, Dmitry Ya. 6 Le, Maohua 6 Li, Bing 6 Miyazaki, Takafumi 6 Pejković, Tomislav 6 Slaman, Theodore A. 6 Soydan, Gokhan 6 Trojovský, Pavel 6 Xu, Jian 6 Zannier, Umberto M. 5 Akiyama, Shigeki 5 Bell, Jason P. 5 Beresnevich, Victor V. 5 Broderick, Ryan 5 Filipin, Alan 5 German, Oleg N. 5 Gusakova, Anna Grigorevna 5 Harrap, Stephen B. 5 Hernández Hernández, Santos 5 Lü, Meiying 5 Marnat, Antoine 5 Moreira, Carlos Gustavo Tamm de Araujo 5 Nogueira, Arnaldo C. R. 5 O’Donnell, Hugh 5 Panda, Gopal Krishna 5 Patel, Vandita 5 Pink, István 5 Rivoal, Tanguy 5 Shi, Wujie 5 Tichy, Robert Franz 5 Wu, Wen 5 Zhang, Zhongfeng 4 Abu Muriefah, Fadwa S. 4 Adegbindin, Chèfiath Awero 4 Adiceam, Faustin 4 Aistleitner, Christoph 4 Alan, Murat 4 Allouche, Jean-Paul Simon 4 Alvarez, Nicolás 4 Bonciocat, Nicolae Ciprian 4 Chen, Imin 4 Corvaja, Pietro 4 Durand, Arnaud 4 Fu, Ruiqin ...and 848 more Authors all top 5 Cited in 220 Serials 102 Journal of Number Theory 50 International Journal of Number Theory 45 Journal de Théorie des Nombres de Bordeaux 31 Monatshefte für Mathematik 26 Bulletin of the Australian Mathematical Society 26 Mathematics of Computation 26 Acta Arithmetica 24 Proceedings of the American Mathematical Society 22 Advances in Mathematics 22 Transactions of the American Mathematical Society 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Periodica Mathematica Hungarica 21 Mathematische Zeitschrift 21 Indagationes Mathematicae. New Series 17 Mathematika 17 The Ramanujan Journal 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Ergodic Theory and Dynamical Systems 15 Boletín de la Sociedad Matemática Mexicana. Third Series 13 Journal of Mathematical Analysis and Applications 13 Theoretical Computer Science 12 Annales de l’Institut Fourier 11 Glasgow Mathematical Journal 11 Mathematische Annalen 10 Lithuanian Mathematical Journal 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Functiones et Approximatio. Commentarii Mathematici 9 Fractals 8 Israel Journal of Mathematics 8 Rocky Mountain Journal of Mathematics 8 Journal of Integer Sequences 8 Journal of the Australian Mathematical Society 7 Nonlinearity 7 Journal of Combinatorial Theory. 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RACSAM 5 Discrete Mathematics 5 Archiv der Mathematik 5 Advances in Applied Mathematics 5 Information and Computation 5 Experimental Mathematics 5 Discrete and Continuous Dynamical Systems 5 Documenta Mathematica 5 RAIRO. Theoretical Informatics and Applications 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Research in Number Theory 4 Indian Journal of Pure & Applied Mathematics 4 Chaos, Solitons and Fractals 4 Compositio Mathematica 4 Journal of Algebra 4 Manuscripta Mathematica 4 Theory of Computing Systems 4 Annals of Mathematics. Second Series 4 Chebyshevskiĭ Sbornik 4 Journal of Modern Dynamics 4 Uniform Distribution Theory 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 Communications in Mathematics 3 Journal d’Analyse Mathématique 3 Acta Mathematica 3 Colloquium Mathematicum 3 Journal of Computer and System Sciences 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti del Seminario Matematico della Università di Padova 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 International Journal of Algebra and Computation 3 Elemente der Mathematik 3 Glasnik Matematički. Serija III 3 The Electronic Journal of Combinatorics 3 Advances in Difference Equations 3 Cryptography and Communications 3 Afrika Matematika 2 Communications in Algebra 2 Communications in Mathematical Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 The Annals of Probability 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Mathematica Scandinavica 2 Michigan Mathematical Journal ...and 120 more Serials all top 5 Cited in 46 Fields 995 Number theory (11-XX) 114 Dynamical systems and ergodic theory (37-XX) 93 Measure and integration (28-XX) 75 Computer science (68-XX) 50 Combinatorics (05-XX) 37 Group theory and generalizations (20-XX) 34 Algebraic geometry (14-XX) 21 Field theory and polynomials (12-XX) 18 Probability theory and stochastic processes (60-XX) 14 Mathematical logic and foundations (03-XX) 13 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Topological groups, Lie groups (22-XX) 10 Information and communication theory, circuits (94-XX) 8 Convex and discrete geometry (52-XX) 7 Commutative algebra (13-XX) 7 Real functions (26-XX) 6 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 5 Abstract harmonic analysis (43-XX) 4 Partial differential equations (35-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year