Edit Profile Bugeaud, Yann Compute Distance To: Compute Author ID: bugeaud.yann Published as: Bugeaud, Y.; Bugeaud, Yann Homepage: http://irma.math.unistra.fr/~bugeaud/ External Links: MGP · Math-Net.Ru · ORCID · dblp · GND Documents Indexed: 224 Publications since 1993, including 7 Books all top 5 Co-Authors 78 single-authored 31 Mignotte, Maurice 19 Adamczewski, Boris 11 Siksek, Samir 10 Luca, Florian 6 Cipu, Mihai 6 Coons, Michael 5 Bonciocat, Nicolae Ciprian 5 Dujella, Andrej 5 Laurent, Michel 4 Amou, Masaaki 4 Bennett, Michael A. 4 Borwein, Jonathan Michael 4 Evertse, Jan-Hendrik 4 Győry, Kálmán 4 Kim, Donghan 3 de Mathan, Bernard 3 Kristensen, Simon 3 Pejković, Tomislav 2 Becher, Verónica 2 Bilu, Yuri F. 2 Chevallier, Nicolas 2 Conze, Jean-Pierre 2 Drmota, Michael 2 Dubickas, Artūras 2 Han, Guo-Niu 2 Hanrot, Guillaume 2 Kaneko, Hajime 2 Kleinbock, Dmitry Ya. 2 Liao, Lingmin 2 Moreira, Carlos Gustavo Tamm de Araujo 2 Moshchevitin, Nikolay G. 2 Roy, Yves 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 Badziahin, Dzmitry A. 1 Bell, Jason P. 1 Bonciocat, Anca Iuliana 1 Bringmann, Kathrin 1 Broderick, Ryan 1 Budarina, Natalia Viktorovna 1 Cao, Zhenfu 1 Cheung, Yitwah 1 Corvaja, Pietro 1 Dal’bo, Françoise 1 Davison, Les 1 Dickinson, Detta 1 Dodson, Maurice M. 1 Druţu, Cornelia 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 P. 1 Kekeç, Gülcan 1 Krieger, Dalia 1 Levesque, Claude 1 Mihăilescu, Preda 1 Nesterenko, Yuriĭ Valentinovich 1 Normandin, Frédéric 1 O’Donnell, Hugh 1 Queffelec, Martine 1 Rams, Michał 1 Reutenauer, Christophe 1 Salvy, Bruno 1 Sander, Jürgen W. 1 Schleischitz, Johannes 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 5 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 4 Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Zeitschrift 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 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 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Mathematica Hungarica 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Indagationes Mathematicae. New Series 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 Michigan Mathematical Journal 2 Ergodic Theory and Dynamical Systems 2 IMRN. International Mathematics Research Notices 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 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 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 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 Journal of the Australian Mathematical Society 1 Moscow Mathematical Journal 1 Fizikos ir Matematikos Fakulteto Mokslinio Seminaro Darbai 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 222 Number theory (11-XX) 12 Computer science (68-XX) 10 Measure and integration (28-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Field theory and polynomials (12-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 186 Publications have been cited 1,609 times in 959 Documents Cited by ▼ Year ▼ Approximation by algebraic numbers. Zbl 1055.11002Bugeaud, Yann 108 2004 Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 106 2006 On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094Adamczewski, Boris; Bugeaud, Yann 60 2007 Distribution modulo one and Diophantine approximation. Zbl 1260.11001Bugeaud, Yann 49 2012 An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\). Zbl 1021.11001Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto 38 2003 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 30 2006 Diophantine approximation and Cantor sets. Zbl 1163.11056Bugeaud, Yann 29 2008 On the complexity of algebraic numbers. II: Continued fractions. Zbl 1195.11093Adamczewski, Boris; Bugeaud, Yann 29 2005 Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333Bugeaud, Yann; Laurent, Michel 27 2005 On the complexity of algebraic numbers. Zbl 1119.11019Adamczewski, Boris; Bugeaud, Yann; Luca, Florian 27 2004 Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062Bugeaud, Yann; Wang, Bao-Wei 26 2014 Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers. Zbl 0870.11045Bugeaud, Y.; Laurent, M. 26 1996 Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024Bugeaud, Yann; Györy, Kálmán 23 1996 On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027Bugeaud, Yann; Shorey, T. N. 22 2001 On the rational approximation to the Thue-Morse-Mahler numbers. Zbl 1271.11074Bugeaud, Yann 20 2011 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 20 2008 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 20 2008 On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039Bugeaud, Yann; Laurent, Michel 20 2005 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 19 2010 Approximation by algebraic integers and Hausdorff dimension. Zbl 1020.11049Bugeaud, Yann 19 2002 On simple \(K_4\)-groups. Zbl 0989.20017Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice 19 2001 On a property of Pisot numbers and related questions. Zbl 0923.11148Bugeaud, Y. 19 1996 On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju 17 2010 Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. Zbl 1200.11054Adamczewski, Boris; Bugeaud, Yann 17 2010 On the distance between roots of integer polynomials. Zbl 1071.11016Bugeaud, Yann; Mignotte, Maurice 17 2004 A note on inhomogeneous Diophantine approximation. Zbl 1039.11048Bugeaud, Yann 17 2003 Dynamics for \(\beta \)-shifts and Diophantine approximation. Zbl 1140.11035Adamczewski, Boris; Bugeaud, Yann 16 2007 On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice 16 2007 Root separation for irreducible integer polynomials. Zbl 1273.11049Bugeaud, Yann; Dujella, Andrej 15 2011 Linear mod one transformations and the distribution of fractional parts \(\{\xi(p/q)^n\}\). Zbl 1061.11041Bugeaud, Yann 15 2004 Linear forms in \(p\)-adic logarithms and the diophantine equation \(\frac{x^n-1}{x-1} = y^q\). Zbl 0940.11019Bugeaud, Yann 15 1999 On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100Bugeaud, Yann 14 2010 Palindromic continued fractions. Zbl 1126.11036Adamczewski, Boris; Bugeaud, Yann 14 2007 Bounds for the solutions of unit equations. Zbl 0861.11023Bugeaud, Yann; Györy, Kálmán 14 1996 Bounds for the solutions of superelliptic equations. Zbl 0886.11016Bugeaud, Yann 13 1997 Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan 11 2016 Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053Adamczewski, Boris; Bugeaud, Yann 11 2010 On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086Bugeaud, Yann; Laurent, Michel 11 2010 On two notions of complexity of algebraic numbers. Zbl 1236.11062Bugeaud, Yann; Evertse, Jan-Hendrik 11 2008 On the Maillet-Baker continued fractions. Zbl 1145.11054Adamczewski, Boris; Bugeaud, Yann 11 2007 The Diophantine equation \(x^2 + c = y^n\) : a brief overview. Zbl 1189.11019Muriefah, Fadwa S. Abu; Bugeaud, Yann 11 2006 On a problem of Diophantus for higher powers. Zbl 1042.11019Bugeaud, Yann; Dujella, Andrej 11 2003 Sets of exact approximation order by rational numbers. Zbl 1044.11059Bugeaud, Yann 11 2003 On some exponential Diophantine equations. Zbl 1014.11023Bugeaud, Yann 11 2001 Automatic continued fractions are transcendental or quadratic. Zbl 1292.11080Bugeaud, Yann 10 2013 Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 10 2012 Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071Bugeaud, Yann; Moshchevitin, Nikolay 10 2011 Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037Amou, Masaaki; Bugeaud, Yann 10 2010 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2008 On the Littlewood conjecture in simultaneous Diophantine approximation. Zbl 1093.11052Adamczewski, Boris; Bugeaud, Yann 10 2006 On integers with identical digits. Zbl 1033.11012Bugeaud, Yann; Mignotte, Maurice 10 1999 Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078Bugeaud, Yann 9 2012 Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey 9 2011 Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak 9 2010 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 9 2008 On Pillai’s Diophantine equation. Zbl 1136.11026Bugeaud, Yann; Luca, Florian 9 2006 Fractional parts of powers and Sturmian words. Zbl 1140.11318Bugeaud, Yann; Dubickas, Artūras 9 2005 On Fibonacci numbers of the form \(q^ky^k\). Zbl 1113.11010Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 9 2004 Uniform Diophantine approximation related to \(b\)-ary and \(\beta\)-expansions. Zbl 1354.37012Bugeaud, Yann; Liao, Lingmin 8 2016 Root separation for reducible integer polynomials. Zbl 1290.11056Bugeaud, Yann; Dujella, Andrej 8 2014 Real numbers of sublinear complexity: irrationality and transcendence measures. Zbl 1255.11037Adamczewski, Boris; Bugeaud, Yann 8 2011 Multiplicative Diophantine approximation. Zbl 1266.11083Bugeaud, Yann 8 2009 Exponents of diophantine approximation. Zbl 1229.11098Bugeaud, Yann; Laurent, Michel 8 2007 On a mixed Littlewood conjecture in Diophantine approximation. Zbl 1209.11064Bugeaud, Yann; Drmota, Michael; de Mathan, Bernard 8 2007 Intersective sets and Diophantine approximation. Zbl 1196.11103Bugeaud, Yann 8 2004 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 The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). Zbl 1040.11015Bugeaud, Yann; Mignotte, Maurice 8 2002 On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030Bugeaud, Yann; Mignotte, Maurice; Roy, Yves 8 2000 A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008Bugeaud, Yann; Han, Guo-Niu 7 2014 A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330Adamczewski, Boris; Bugeaud, Yann 7 2007 On generalizations of a problem of Diophantus. Zbl 1065.11015Bugeaud, Yann; Gyarmati, Katalin 7 2004 On the Diophantine equation \((x^ n-1)/(x-1)=y^ q\). III. Zbl 1102.11305Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice 7 2002 On the quadratic Lagrange spectrum. Zbl 1358.11077Bugeaud, Yann 6 2014 Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069Bugeaud, Yann; Haynes, Alan; Velani, Sanju 6 2011 On the Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). Zbl 1151.11016Bugeaud, Yann; Mihăilescu, Preda 6 2007 Approximation by algebraic numbers. Zbl 1155.11003Bugeaud, Yann 6 2007 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2007 An inhomogeneous Jarník theorem. Zbl 1148.11035Bugeaud, Yann 6 2004 A quantitative lower bound for the greatest prime factor of \((ab+1)(bc+1)(ca+1)\). Zbl 1122.11060Bugeaud, Yann; Luca, Florian 6 2004 Linear forms in two \(m\)-adic logarithms and applications to Diophantine problems. Zbl 1171.11318Bugeaud, Yann 6 2002 Linear forms in logarithms and applications. Zbl 1394.11001Bugeaud, Yann 5 2018 Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083Bugeaud, Yann; Durand, Arnaud 5 2016 Diophantine approximation of Mahler numbers. Zbl 1320.11064Bell, Jason P.; Bugeaud, Yann; Coons, Michael 5 2015 Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 5 2013 On sequences \((a_n \xi)_{n \geq 1}\) converging modulo 1. Zbl 1266.11084Bugeaud, Yann 5 2009 Continued fractions and transcendental numbers. Zbl 1152.11034Adamczewski, Boris; Bugeaud, Yann; Davison, Les 5 2006 On Fibonacci numbers with few prime divisors. Zbl 1087.11009Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 5 2005 On the Diophantine equation \((x^ k-1)(y^ k-1)=(z^ k-1)\). Zbl 1098.11022Bugeaud, Yann 5 2004 Mahler’s classification of numbers compared with Koksma’s. Zbl 1029.11034Bugeaud, Yann 5 2003 Liouville numbers and normal numbers. Zbl 1006.11043Bugeaud, Yann 5 2002 A new criterion for the Catalan equation. Zbl 1008.11011Bugeaud, Yann; Hanrot, Guillaume 5 2000 Approximation of a real number by algebraic numbers of given degree. Zbl 0948.11029Bugeaud, Yann; Teulié, Olivier 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 Computing the dynamics of contracting linear transformations mod 1 and Farey arcs. Zbl 0935.11008Bugeaud, Yann; Conze, Jean-Pierre 5 1999 Dynamic of some contracting, piecewise linear functions over \([0,1[\). Zbl 0802.46036Bugeaud, Yann 5 1993 On uniform approximation to real numbers. Zbl 1356.11042Bugeaud, Yann; Schleischitz, Johannes 4 2016 Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 4 2013 On the expansions of a real number to several integer bases. Zbl 1257.11008Bugeaud, Yann 4 2012 On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh 4 2011 On simultaneous uniform approximation to a \(p\)-adic number and its square. Zbl 1204.11105Bugeaud, Yann 4 2010 Metrical results on the distribution of fractional parts of powers of real numbers. Zbl 07047472Bugeaud, Yann; Liao, Lingmin; Rams, Michał 3 2019 A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. Zbl 1409.68224Bugeaud, Yann; Kim, Dong Han 3 2019 On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series. Zbl 1436.11098Bugeaud, Yann; Zhang, Zhenliang 2 2019 Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields. Zbl 07146416Bugeaud, Yann 1 2019 Hausdorff dimension and uniform exponents in dimension two. Zbl 1450.11081Bugeaud, Yann; Cheung, Yitwah; Chevallier, Nicolas 1 2019 Linear forms in logarithms and applications. Zbl 1394.11001Bugeaud, Yann 5 2018 On the digital representation of smooth numbers. Zbl 1442.11017Bugeaud, Yann; Kaneko, Hajime 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 the digital representation of integers with bounded prime factors. Zbl 1441.11015Bugeaud, Yann 1 2018 Absolute real root separation. Zbl 1391.11058Bugeaud, Yann; Dujella, Andrej; Pejković, Tomislav; Salvy, Bruno 3 2017 On the expansions of real numbers in two integer bases. 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 \(S\)-parts of terms of integer linear recurrence sequences. Zbl 1434.11042Bugeaud, Yann; Evertse, Jan-Hendrik 1 2017 On the expansions of real numbers in two multiplicatively dependent bases. Zbl 1437.11011Bugeaud, 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 11 2016 Uniform Diophantine approximation related to \(b\)-ary and \(\beta\)-expansions. Zbl 1354.37012Bugeaud, Yann; Liao, Lingmin 8 2016 Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083Bugeaud, Yann; Durand, Arnaud 5 2016 On uniform approximation to real numbers. Zbl 1356.11042Bugeaud, Yann; Schleischitz, Johannes 4 2016 Exponents of Diophantine approximation. Zbl 1406.11067Bugeaud, Yann 3 2016 The irrationality exponents of computable numbers. Zbl 1336.11053Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A. 3 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 2 2016 Diophantine approximation of Mahler numbers. Zbl 1320.11064Bell, Jason P.; Bugeaud, Yann; Coons, Michael 5 2015 On the complexity of a putative counterexample to the \(p\)-adic Littlewood conjecture. Zbl 1331.11049Badziahin, Dmitry; Bugeaud, Yann; Einsiedler, Manfred; Kleinbock, Dmitry 3 2015 On the multiples of a badly approximable vector. Zbl 1325.11062Bugeaud, Yann 3 2015 Quadratic approximation in \(\mathbb{Q}_{p}\). Zbl 1307.11082Bugeaud, Yann; Pejković, Tomislav 3 2015 Expansions of algebraic numbers. Zbl 1387.11045Bugeaud, Yann 2 2015 Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 1 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 26 2014 Root separation for reducible integer polynomials. Zbl 1290.11056Bugeaud, Yann; Dujella, Andrej 8 2014 A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008Bugeaud, Yann; Han, Guo-Niu 7 2014 On the quadratic Lagrange spectrum. Zbl 1358.11077Bugeaud, Yann 6 2014 Perfect powers with three digits. Zbl 1372.11009Bennett, Michael A.; Bugeaud, Yann 3 2014 The problem of Catalan. Zbl 1315.11003Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice 2 2014 Around the Littlewood conjecture in Diophantine approximation. Zbl 1367.11059Bugeaud, Yann 1 2014 Automatic continued fractions are transcendental or quadratic. Zbl 1292.11080Bugeaud, Yann 10 2013 Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 5 2013 Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 4 2013 On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 2 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 Hausdorff dimension and Diophantine approximation. Zbl 1268.28008Bugeaud, Yann 1 2013 Distribution modulo one and Diophantine approximation. Zbl 1260.11001Bugeaud, Yann 49 2012 Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 10 2012 Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078Bugeaud, Yann 9 2012 On the expansions of a real number to several integer bases. Zbl 1257.11008Bugeaud, Yann 4 2012 On fractional parts of powers of real numbers close to 1. Zbl 1246.11134Bugeaud, Yann; Moshchevitin, Nikolay 3 2012 Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 1 2012 Effective results for restricted rational approximation to quadratic irrationals. Zbl 1306.11053Bennett, Michael A.; Bugeaud, Yann 1 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. Zbl 1271.11074Bugeaud, Yann 20 2011 Root separation for irreducible integer polynomials. Zbl 1273.11049Bugeaud, Yann; Dujella, Andrej 15 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 Real numbers of sublinear complexity: irrationality and transcendence measures. Zbl 1255.11037Adamczewski, Boris; Bugeaud, Yann 8 2011 Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069Bugeaud, Yann; Haynes, Alan; Velani, Sanju 6 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 4 2011 Sets of exact approximation order by rational numbers. III. Zbl 1211.11084Bugeaud, Yann; Moreira, Carlos Gustavo 3 2011 Quantitative versions of the subspace theorem and applications. Zbl 1272.11089Bugeaud, Yann 2 2011 Simultaneous Fermat-Pell-Mahler equations. Zbl 1249.11053Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel 2 2011 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 19 2010 On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju 17 2010 Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. Zbl 1200.11054Adamczewski, Boris; Bugeaud, Yann 17 2010 On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100Bugeaud, Yann 14 2010 Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053Adamczewski, Boris; Bugeaud, Yann 11 2010 On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086Bugeaud, Yann; Laurent, Michel 11 2010 Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037Amou, Masaaki; Bugeaud, Yann 10 2010 Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak 9 2010 On simultaneous uniform approximation to a \(p\)-adic number and its square. Zbl 1204.11105Bugeaud, Yann 4 2010 Transcendence and Diophantine approximation. Zbl 1271.11073Adamczewski, Boris; Bugeaud, Yann 2 2010 Multiplicative Diophantine approximation. Zbl 1266.11083Bugeaud, Yann 8 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 Approximation of complex algebraic numbers by algebraic numbers of bounded degree. Zbl 1176.11031Bugeaud, Yann; Evertse, Jan-Hendrik 1 2009 A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir 1 2009 Diophantine approximation and Cantor sets. Zbl 1163.11056Bugeaud, Yann 29 2008 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 20 2008 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 20 2008 On two notions of complexity of algebraic numbers. Zbl 1236.11062Bugeaud, Yann; Evertse, Jan-Hendrik 11 2008 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2008 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 9 2008 Sets of exact approximation order by rational numbers. II. Zbl 1212.11071Bugeaud, Yann 4 2008 An explicit lower bound for the block complexity of an algebraic number. Zbl 1268.11099Bugeaud, Yann 3 2008 Linear forms in the logarithms of algebraic numbers close to 1 and applications to Diophantine equations. Zbl 1194.11079Bugeaud, Yann 1 2008 On a problem of Mahler and Szekeres on approximation by roots of integers. Zbl 1172.11023Bugeaud, Yann; Dubickas, Artūras 1 2008 Sums of the error term function in the mean square for \(\zeta (s)\). Zbl 1175.11046Bugeaud, Yann; Ivić, Aleksandar 1 2008 Mahler’s classification of numbers compared with Koksma’s. II. Zbl 1214.11082Bugeaud, Yann 1 2008 On a mixed Littlewood conjecture in fields of power series. Zbl 1147.11035Bugeaud, Yann; de Mathan, Bernard 1 2008 On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094Adamczewski, Boris; Bugeaud, Yann 60 2007 Dynamics for \(\beta \)-shifts and Diophantine approximation. Zbl 1140.11035Adamczewski, Boris; Bugeaud, Yann 16 2007 On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice 16 2007 Palindromic continued fractions. Zbl 1126.11036Adamczewski, Boris; Bugeaud, Yann 14 2007 On the Maillet-Baker continued fractions. Zbl 1145.11054Adamczewski, Boris; Bugeaud, Yann 11 2007 Exponents of diophantine approximation. Zbl 1229.11098Bugeaud, Yann; Laurent, Michel 8 2007 On a mixed Littlewood conjecture in Diophantine approximation. Zbl 1209.11064Bugeaud, Yann; Drmota, Michael; de Mathan, Bernard 8 2007 A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330Adamczewski, Boris; Bugeaud, Yann 7 2007 On the Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). Zbl 1151.11016Bugeaud, Yann; Mihăilescu, Preda 6 2007 Approximation by algebraic numbers. Zbl 1155.11003Bugeaud, Yann 6 2007 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 849 Authors 85 Bugeaud, Yann 74 Luca, Florian 30 Dubickas, Artūras 27 Togbé, Alain 17 Adamczewski, Boris 17 Marques, Diego 15 Mignotte, Maurice 14 Bennett, Michael A. 14 Siksek, Samir 14 Wang, Baowei 13 Badziahin, Dzmitry A. 12 Becher, Verónica 12 Schleischitz, Johannes 12 Simmons, David 11 Budarina, Natalia Viktorovna 11 Fishman, Lior 10 Roy, Damien 10 Ziegler, Volker 9 Bernik, Vasiliĭ Ivanovich 9 Bravo, Jhon Jairo 9 Coons, Michael 9 Hajdu, Lajos 8 Dujella, Andrej 8 Fischler, Stéphane 8 He, Bo 8 Kristensen, Simon 8 Pintér, Ákos 8 Wu, Jun 8 Yuan, Pingzhi 8 Zaïmi, Toufik Mostepha 7 Cipu, Mihai 7 Fujita, Yasutsugu 7 Hussain, Mumtaz 7 Kaliada, Dzianis 7 Moshchevitin, Nikolay G. 7 Shparlinski, Igor E. 7 Tengely, Szabolcs 7 Velani, Sanju L. 6 Carton, Olivier 6 Ddamulira, Mahadi 6 Götze, Friedrich W. 6 Keskin, Refik 6 Laurent, Michel 6 Li, Bing 6 Miyazaki, Takafumi 6 Pejković, Tomislav 6 Persson, Tomas 6 Slaman, Theodore A. 6 Soydan, Gokhan 6 Xu, Jian 5 Broderick, Ryan 5 Fuchs, Clemens 5 Gusakova, Anna Grigorevna 5 Han, Guo-Niu 5 Harrap, Stephen B. 5 Kaneko, Hajime 5 Kim, Donghan 5 Kleinbock, Dmitry Ya. 5 Moreira, Carlos Gustavo Tamm de Araujo 5 O’Donnell, Hugh 5 Pink, István 5 Rivoal, Tanguy 5 Shallit, Jeffrey O. 5 Shi, Wujie 5 Zannier, Umberto M. 5 Zhang, Zhongfeng 4 Abu Muriefah, Fadwa S. 4 Alvarez, Nicolás 4 Bell, Jason P. 4 Beresnevich, Victor V. 4 Chen, Imin 4 Corvaja, Pietro 4 Durand, Arnaud 4 German, Oleg N. 4 Gómez Ruiz, Carlos Alexis 4 Gómez, Carlos Alexis 4 Haynes, Alan K. 4 Heiber, Pablo Ariel 4 Kafle, Bir 4 Kondrat’ev, Anatoliĭ Semenovich 4 Larcher, Gerhard 4 Le, Maohua 4 Lü, Meiying 4 Mance, Bill 4 Mihăilescu, Preda 4 Panda, Gopal Krishna 4 Parkkonen, Jouni 4 Paulin, Frédéric 4 Pethő, Attila 4 Poulakis, Dimitrios 4 Schmidt, Wolfgang M. 4 Seuret, Stéphane 4 Sha, Min 4 Stănică, Pantelimon 4 Szalay, László 4 Tichy, Robert Franz 4 Väänänen, Keijo O. 4 Wu, Wen 3 Adegbindin, Chèfiath Awero 3 Adiceam, Faustin ...and 749 more Authors all top 5 Cited in 184 Serials 98 Journal of Number Theory 45 Journal de Théorie des Nombres de Bordeaux 44 International Journal of Number Theory 26 Mathematics of Computation 25 Monatshefte für Mathematik 23 Bulletin of the Australian Mathematical Society 22 Proceedings of the American Mathematical Society 22 Indagationes Mathematicae. New Series 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Acta Arithmetica 21 Transactions of the American Mathematical Society 17 Periodica Mathematica Hungarica 17 Advances in Mathematics 17 Mathematische Zeitschrift 17 Mathematika 14 Ergodic Theory and Dynamical Systems 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Theoretical Computer Science 13 The Ramanujan Journal 12 Journal of Mathematical Analysis and Applications 12 Annales de l’Institut Fourier 10 Lithuanian Mathematical Journal 9 Functiones et Approximatio. Commentarii Mathematici 9 Glasgow Mathematical Journal 9 Mathematische Annalen 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Journal of Symbolic Computation 7 Rocky Mountain Journal of Mathematics 7 Journal of Combinatorial Theory. Series A 7 Journal of Mathematical Sciences (New York) 7 Turkish Journal of Mathematics 7 Boletín de la Sociedad Matemática Mexicana. Third Series 7 Journal of Integer Sequences 7 Journal of the Australian Mathematical Society 6 Nonlinearity 6 Inventiones Mathematicae 6 Journal für die Reine und Angewandte Mathematik 6 Proceedings of the Japan Academy. Series A 6 Journal of the European Mathematical Society (JEMS) 6 Trudy Instituta Matematiki 6 Integers 6 Proceedings of the Steklov Institute of Mathematics 5 Discrete Mathematics 5 Israel Journal of Mathematics 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Advances in Applied Mathematics 5 Acta Mathematica Hungarica 5 RAIRO. Theoretical Informatics and Applications 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Mediterranean Journal of Mathematics 4 Compositio Mathematica 4 Manuscripta Mathematica 4 Experimental Mathematics 4 Fractals 4 Finite Fields and their Applications 4 Discrete and Continuous Dynamical Systems 4 Documenta Mathematica 4 Theory of Computing Systems 4 Annals of Mathematics. Second Series 4 Chebyshevskiĭ Sbornik 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 Communications in Mathematics 3 Journal d’Analyse Mathématique 3 Chaos, Solitons and Fractals 3 Acta Mathematica 3 Archiv der Mathematik 3 Colloquium Mathematicum 3 Journal of Algebra 3 Journal of Computer and System Sciences 3 Mathematica Slovaca 3 Proceedings of the London Mathematical Society. Third Series 3 Quaestiones Mathematicae 3 Rendiconti del Seminario Matematico della Università di Padova 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Research in Number Theory 2 Communications in Algebra 2 Communications in Mathematical Physics 2 Indian Journal of Pure & Applied Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Mathematica Scandinavica 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Bulletin of the Iranian Mathematical Society 2 Information and Computation 2 International Journal of Algebra and Computation 2 International Journal of Foundations of Computer Science 2 Designs, Codes and Cryptography 2 Geometric and Functional Analysis. GAFA 2 Elemente der Mathematik 2 Glasnik Matematički. Serija III 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series ...and 84 more Serials all top 5 Cited in 46 Fields 844 Number theory (11-XX) 95 Dynamical systems and ergodic theory (37-XX) 72 Measure and integration (28-XX) 66 Computer science (68-XX) 41 Combinatorics (05-XX) 34 Algebraic geometry (14-XX) 31 Group theory and generalizations (20-XX) 17 Field theory and polynomials (12-XX) 17 Probability theory and stochastic processes (60-XX) 13 Functions of a complex variable (30-XX) 11 Mathematical logic and foundations (03-XX) 10 Topological groups, Lie groups (22-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Information and communication theory, circuits (94-XX) 7 Commutative algebra (13-XX) 7 Convex and discrete geometry (52-XX) 6 Real functions (26-XX) 6 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Abstract harmonic analysis (43-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year