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## Bugeaud, Yann

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 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
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH

186 Publications have been cited 1,609 times in 959 Documents Cited by Year
Approximation by algebraic numbers. Zbl 1055.11002
Bugeaud, Yann
2004
Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
2006
On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094
2007
Distribution modulo one and Diophantine approximation. Zbl 1260.11001
Bugeaud, Yann
2012
An upper bound for the g.c.d. of $$a^n-1$$ and $$b^n -1$$. Zbl 1021.11001
Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto
2003
Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
2006
Diophantine approximation and Cantor sets. Zbl 1163.11056
Bugeaud, Yann
2008
On the complexity of algebraic numbers. II: Continued fractions. Zbl 1195.11093
2005
Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333
Bugeaud, Yann; Laurent, Michel
2005
On the complexity of algebraic numbers. Zbl 1119.11019
Adamczewski, Boris; Bugeaud, Yann; Luca, Florian
2004
Distribution of full cylinders and the Diophantine properties of the orbits in $$\beta$$-expansions. Zbl 1309.11062
Bugeaud, Yann; Wang, Bao-Wei
2014
Effective lower bound for the $$p$$-adic distance between powers of algebraic numbers. Zbl 0870.11045
Bugeaud, Y.; Laurent, M.
1996
Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024
Bugeaud, Yann; Györy, Kálmán
1996
On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027
Bugeaud, Yann; Shorey, T. N.
2001
On the rational approximation to the Thue-Morse-Mahler numbers. Zbl 1271.11074
Bugeaud, Yann
2011
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
2008
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
2008
On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039
Bugeaud, Yann; Laurent, Michel
2005
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
2010
Approximation by algebraic integers and Hausdorff dimension. Zbl 1020.11049
Bugeaud, Yann
2002
On simple $$K_4$$-groups. Zbl 0989.20017
Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice
2001
On a property of Pisot numbers and related questions. Zbl 0923.11148
Bugeaud, Y.
1996
On shrinking targets for $$\mathbb Z$$ actions on tori. Zbl 1227.11095
Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju
2010
Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. Zbl 1200.11054
2010
On the distance between roots of integer polynomials. Zbl 1071.11016
Bugeaud, Yann; Mignotte, Maurice
2004
A note on inhomogeneous Diophantine approximation. Zbl 1039.11048
Bugeaud, Yann
2003
Dynamics for $$\beta$$-shifts and Diophantine approximation. Zbl 1140.11035
2007
On the family of Diophantine triples $$\{k-1, k+1, 16k^3 - 4k\}$$. Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
2007
Root separation for irreducible integer polynomials. Zbl 1273.11049
Bugeaud, Yann; Dujella, Andrej
2011
Linear mod one transformations and the distribution of fractional parts $$\{\xi(p/q)^n\}$$. Zbl 1061.11041
Bugeaud, Yann
2004
Linear forms in $$p$$-adic logarithms and the diophantine equation $$\frac{x^n-1}{x-1} = y^q$$. Zbl 0940.11019
Bugeaud, Yann
1999
On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100
Bugeaud, Yann
2010
Palindromic continued fractions. Zbl 1126.11036
2007
Bounds for the solutions of unit equations. Zbl 0861.11023
Bugeaud, Yann; Györy, Kálmán
1996
Bounds for the solutions of superelliptic equations. Zbl 0886.11016
Bugeaud, Yann
1997
Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101
Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan
2016
Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053
2010
On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086
Bugeaud, Yann; Laurent, Michel
2010
On two notions of complexity of algebraic numbers. Zbl 1236.11062
Bugeaud, Yann; Evertse, Jan-Hendrik
2008
On the Maillet-Baker continued fractions. Zbl 1145.11054
2007
The Diophantine equation $$x^2 + c = y^n$$ : a brief overview. Zbl 1189.11019
Muriefah, Fadwa S. Abu; Bugeaud, Yann
2006
On a problem of Diophantus for higher powers. Zbl 1042.11019
Bugeaud, Yann; Dujella, Andrej
2003
Sets of exact approximation order by rational numbers. Zbl 1044.11059
Bugeaud, Yann
2003
On some exponential Diophantine equations. Zbl 1014.11023
Bugeaud, Yann
2001
Automatic continued fractions are transcendental or quadratic. Zbl 1292.11080
Bugeaud, Yann
2013
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
2012
Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071
Bugeaud, Yann; Moshchevitin, Nikolay
2011
Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037
Amou, Masaaki; Bugeaud, Yann
2010
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
2008
On the Littlewood conjecture in simultaneous Diophantine approximation. Zbl 1093.11052
2006
On integers with identical digits. Zbl 1033.11012
Bugeaud, Yann; Mignotte, Maurice
1999
Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078
Bugeaud, Yann
2012
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
2011
Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007
Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak
2010
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
2008
On Pillai’s Diophantine equation. Zbl 1136.11026
Bugeaud, Yann; Luca, Florian
2006
Fractional parts of powers and Sturmian words. Zbl 1140.11318
Bugeaud, Yann; Dubickas, Artūras
2005
On Fibonacci numbers of the form $$q^ky^k$$. Zbl 1113.11010
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
2004
Uniform Diophantine approximation related to $$b$$-ary and $$\beta$$-expansions. Zbl 1354.37012
Bugeaud, Yann; Liao, Lingmin
2016
Root separation for reducible integer polynomials. Zbl 1290.11056
Bugeaud, Yann; Dujella, Andrej
2014
Real numbers of sublinear complexity: irrationality and transcendence measures. Zbl 1255.11037
2011
Multiplicative Diophantine approximation. Zbl 1266.11083
Bugeaud, Yann
2009
Exponents of diophantine approximation. Zbl 1229.11098
Bugeaud, Yann; Laurent, Michel
2007
On a mixed Littlewood conjecture in Diophantine approximation. Zbl 1209.11064
Bugeaud, Yann; Drmota, Michael; de Mathan, Bernard
2007
Intersective sets and Diophantine approximation. Zbl 1196.11103
Bugeaud, Yann
2004
On the Diophantine equation $$\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}$$. Zbl 1047.11028
Bugeaud, Yann; Shorey, T. N.
2002
The Nagell-Ljunggren equation $$\frac{x^n-1}{x-1}=y^q$$. Zbl 1040.11015
Bugeaud, Yann; Mignotte, Maurice
2002
On the Diophantine equation $${x^ n-1\over x-1}=y^ q$$. Zbl 1064.11030
Bugeaud, Yann; Mignotte, Maurice; Roy, Yves
2000
A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008
Bugeaud, Yann; Han, Guo-Niu
2014
A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330
2007
On generalizations of a problem of Diophantus. Zbl 1065.11015
Bugeaud, Yann; Gyarmati, Katalin
2004
On the Diophantine equation $$(x^ n-1)/(x-1)=y^ q$$. III. Zbl 1102.11305
Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice
2002
On the quadratic Lagrange spectrum. Zbl 1358.11077
Bugeaud, Yann
2014
Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069
Bugeaud, Yann; Haynes, Alan; Velani, Sanju
2011
On the Nagell-Ljunggren equation $$\frac{x^n-1}{x-1}=y^q$$. Zbl 1151.11016
Bugeaud, Yann; Mihăilescu, Preda
2007
Approximation by algebraic numbers. Zbl 1155.11003
Bugeaud, Yann
2007
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
2007
An inhomogeneous Jarník theorem. Zbl 1148.11035
Bugeaud, Yann
2004
A quantitative lower bound for the greatest prime factor of $$(ab+1)(bc+1)(ca+1)$$. Zbl 1122.11060
Bugeaud, Yann; Luca, Florian
2004
Linear forms in two $$m$$-adic logarithms and applications to Diophantine problems. Zbl 1171.11318
Bugeaud, Yann
2002
Linear forms in logarithms and applications. Zbl 1394.11001
Bugeaud, Yann
2018
Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083
Bugeaud, Yann; Durand, Arnaud
2016
Diophantine approximation of Mahler numbers. Zbl 1320.11064
Bell, Jason P.; Bugeaud, Yann; Coons, Michael
2015
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
2013
On sequences $$(a_n \xi)_{n \geq 1}$$ converging modulo 1. Zbl 1266.11084
Bugeaud, Yann
2009
Continued fractions and transcendental numbers. Zbl 1152.11034
Adamczewski, Boris; Bugeaud, Yann; Davison, Les
2006
On Fibonacci numbers with few prime divisors. Zbl 1087.11009
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
2005
On the Diophantine equation $$(x^ k-1)(y^ k-1)=(z^ k-1)$$. Zbl 1098.11022
Bugeaud, Yann
2004
Mahler’s classification of numbers compared with Koksma’s. Zbl 1029.11034
Bugeaud, Yann
2003
Liouville numbers and normal numbers. Zbl 1006.11043
Bugeaud, Yann
2002
A new criterion for the Catalan equation. Zbl 1008.11011
Bugeaud, Yann; Hanrot, Guillaume
2000
Approximation of a real number by algebraic numbers of given degree. Zbl 0948.11029
Bugeaud, Yann; Teulié, Olivier
2000
The equation $$\frac{x^n-1}{x-1}=y^q$$ has no solution with $$x$$ square. Zbl 0940.11020
Bugeaud, Y.; Mignotte, M.; Roy, Y.
1999
Computing the dynamics of contracting linear transformations mod 1 and Farey arcs. Zbl 0935.11008
Bugeaud, Yann; Conze, Jean-Pierre
1999
Dynamic of some contracting, piecewise linear functions over $$[0,1[$$. Zbl 0802.46036
Bugeaud, Yann
1993
On uniform approximation to real numbers. Zbl 1356.11042
Bugeaud, Yann; Schleischitz, Johannes
2016
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2013
On the expansions of a real number to several integer bases. Zbl 1257.11008
Bugeaud, Yann
2012
On simultaneous rational approximation to a $$p$$-adic number and its integral powers. Zbl 1264.11058
Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh
2011
On simultaneous uniform approximation to a $$p$$-adic number and its square. Zbl 1204.11105
Bugeaud, Yann
2010
Metrical results on the distribution of fractional parts of powers of real numbers. Zbl 07047472
Bugeaud, Yann; Liao, Lingmin; Rams, Michał
2019
A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. Zbl 1409.68224
Bugeaud, Yann; Kim, Dong Han
2019
On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series. Zbl 1436.11098
Bugeaud, Yann; Zhang, Zhenliang
2019
Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields. Zbl 07146416
Bugeaud, Yann
2019
Hausdorff dimension and uniform exponents in dimension two. Zbl 1450.11081
Bugeaud, Yann; Cheung, Yitwah; Chevallier, Nicolas
2019
Linear forms in logarithms and applications. Zbl 1394.11001
Bugeaud, Yann
2018
On the digital representation of smooth numbers. Zbl 1442.11017
Bugeaud, Yann; Kaneko, Hajime
2018
$$S$$-parts of values of univariate polynomials, binary forms and decomposable forms at integral points. Zbl 1410.11025
Bugeaud, Yann; Evertse, Jan-Hendrik; Győry, Kálmán
2018
On the digital representation of integers with bounded prime factors. Zbl 1441.11015
Bugeaud, Yann
2018
Absolute real root separation. Zbl 1391.11058
Bugeaud, Yann; Dujella, Andrej; Pejković, Tomislav; Salvy, Bruno
2017
On the expansions of real numbers in two integer bases. Zbl 1433.11004
Bugeaud, Yann; Kim, Dong Han
2017
On the $$b$$-ary expansions of $$\log(1+\frac1a)$$ and $$e$$. Zbl 1434.11023
Bugeaud, Yann; Kim, Dong Han
2017
$$S$$-parts of terms of integer linear recurrence sequences. Zbl 1434.11042
Bugeaud, Yann; Evertse, Jan-Hendrik
2017
On the expansions of real numbers in two multiplicatively dependent bases. Zbl 1437.11011
Bugeaud, Yann; Kim, Dong Han
2017
Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101
Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan
2016
Uniform Diophantine approximation related to $$b$$-ary and $$\beta$$-expansions. Zbl 1354.37012
Bugeaud, Yann; Liao, Lingmin
2016
Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083
Bugeaud, Yann; Durand, Arnaud
2016
On uniform approximation to real numbers. Zbl 1356.11042
Bugeaud, Yann; Schleischitz, Johannes
2016
Exponents of Diophantine approximation. Zbl 1406.11067
Bugeaud, Yann
2016
The irrationality exponents of computable numbers. Zbl 1336.11053
Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A.
2016
On simply normal numbers to different bases. Zbl 1343.11065
Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A.
2016
Effective irrationality measures for quotients of logarithms of rational numbers. Zbl 1408.11072
Bugeaud, Yann
2016
Diophantine approximation of Mahler numbers. Zbl 1320.11064
Bell, Jason P.; Bugeaud, Yann; Coons, Michael
2015
On the complexity of a putative counterexample to the $$p$$-adic Littlewood conjecture. Zbl 1331.11049
Badziahin, Dmitry; Bugeaud, Yann; Einsiedler, Manfred; Kleinbock, Dmitry
2015
On the multiples of a badly approximable vector. Zbl 1325.11062
Bugeaud, Yann
2015
Quadratic approximation in $$\mathbb{Q}_{p}$$. Zbl 1307.11082
Bugeaud, Yann; Pejković, Tomislav
2015
Expansions of algebraic numbers. Zbl 1387.11045
Bugeaud, Yann
2015
Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2015
Quadratic approximation to automatic continued fractions. Zbl 1387.11051
Bugeaud, Yann
2015
Distribution of full cylinders and the Diophantine properties of the orbits in $$\beta$$-expansions. Zbl 1309.11062
Bugeaud, Yann; Wang, Bao-Wei
2014
Root separation for reducible integer polynomials. Zbl 1290.11056
Bugeaud, Yann; Dujella, Andrej
2014
A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008
Bugeaud, Yann; Han, Guo-Niu
2014
On the quadratic Lagrange spectrum. Zbl 1358.11077
Bugeaud, Yann
2014
Perfect powers with three digits. Zbl 1372.11009
Bennett, Michael A.; Bugeaud, Yann
2014
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
2014
Around the Littlewood conjecture in Diophantine approximation. Zbl 1367.11059
Bugeaud, Yann
2014
Automatic continued fractions are transcendental or quadratic. Zbl 1292.11080
Bugeaud, Yann
2013
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
2013
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2013
On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064
Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2013
On rational approximation of the binary Thue-Morse-Mahler number. Zbl 1285.11100
Bugeaud, Yann; Queffélec, Martine
2013
Transcendence with Rosen continued fractions. Zbl 1331.11054
Bugeaud, Yann; Hubert, Pascal; Schmidt, Thomas A.
2013
Hausdorff dimension and Diophantine approximation. Zbl 1268.28008
Bugeaud, Yann
2013
Distribution modulo one and Diophantine approximation. Zbl 1260.11001
Bugeaud, Yann
2012
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
2012
Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078
Bugeaud, Yann
2012
On the expansions of a real number to several integer bases. Zbl 1257.11008
Bugeaud, Yann
2012
On fractional parts of powers of real numbers close to 1. Zbl 1246.11134
Bugeaud, Yann; Moshchevitin, Nikolay
2012
Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2012
Effective results for restricted rational approximation to quadratic irrationals. Zbl 1306.11053
Bennett, Michael A.; Bugeaud, Yann
2012
Variations around a problem of Mahler and Mendès France. Zbl 1254.11072
Bugeaud, Yann
2012
On the rational approximation to the Thue-Morse-Mahler numbers. Zbl 1271.11074
Bugeaud, Yann
2011
Root separation for irreducible integer polynomials. Zbl 1273.11049
Bugeaud, Yann; Dujella, Andrej
2011
Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071
Bugeaud, Yann; Moshchevitin, Nikolay
2011
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
2011
Real numbers of sublinear complexity: irrationality and transcendence measures. Zbl 1255.11037
2011
Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069
Bugeaud, Yann; Haynes, Alan; Velani, Sanju
2011
On simultaneous rational approximation to a $$p$$-adic number and its integral powers. Zbl 1264.11058
Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh
2011
Sets of exact approximation order by rational numbers. III. Zbl 1211.11084
Bugeaud, Yann; Moreira, Carlos Gustavo
2011
Quantitative versions of the subspace theorem and applications. Zbl 1272.11089
Bugeaud, Yann
2011
Simultaneous Fermat-Pell-Mahler equations. Zbl 1249.11053
Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel
2011
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
2010
On shrinking targets for $$\mathbb Z$$ actions on tori. Zbl 1227.11095
Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju
2010
Transcendence measures and quantitative aspects of the Thue-Siegel-Roth-Schmidt method. Zbl 1200.11054
2010
On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100
Bugeaud, Yann
2010
Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053
2010
On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086
Bugeaud, Yann; Laurent, Michel
2010
Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037
Amou, Masaaki; Bugeaud, Yann
2010
Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007
Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak
2010
On simultaneous uniform approximation to a $$p$$-adic number and its square. Zbl 1204.11105
Bugeaud, Yann
2010
Transcendence and Diophantine approximation. Zbl 1271.11073
2010
Multiplicative Diophantine approximation. Zbl 1266.11083
Bugeaud, Yann
2009
On sequences $$(a_n \xi)_{n \geq 1}$$ converging modulo 1. Zbl 1266.11084
Bugeaud, Yann
2009
On the $$\beta$$-expansion of an algebraic number in an algebraic base $$\beta$$. Zbl 1194.11022
Bugeaud, Yann
2009
On the approximation to algebraic numbers by algebraic numbers. Zbl 1194.11076
Bugeaud, Yann
2009
Approximation of complex algebraic numbers by algebraic numbers of bounded degree. Zbl 1176.11031
Bugeaud, Yann; Evertse, Jan-Hendrik
2009
A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049
Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir
2009
Diophantine approximation and Cantor sets. Zbl 1163.11056
Bugeaud, Yann
2008
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
2008
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
2008
On two notions of complexity of algebraic numbers. Zbl 1236.11062
Bugeaud, Yann; Evertse, Jan-Hendrik
2008
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
2008
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
2008
Sets of exact approximation order by rational numbers. II. Zbl 1212.11071
Bugeaud, Yann
2008
An explicit lower bound for the block complexity of an algebraic number. Zbl 1268.11099
Bugeaud, Yann
2008
Linear forms in the logarithms of algebraic numbers close to 1 and applications to Diophantine equations. Zbl 1194.11079
Bugeaud, Yann
2008
On a problem of Mahler and Szekeres on approximation by roots of integers. Zbl 1172.11023
Bugeaud, Yann; Dubickas, Artūras
2008
Sums of the error term function in the mean square for $$\zeta (s)$$. Zbl 1175.11046
Bugeaud, Yann; Ivić, Aleksandar
2008
Mahler’s classification of numbers compared with Koksma’s. II. Zbl 1214.11082
Bugeaud, Yann
2008
On a mixed Littlewood conjecture in fields of power series. Zbl 1147.11035
Bugeaud, Yann; de Mathan, Bernard
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
On the family of Diophantine triples $$\{k-1, k+1, 16k^3 - 4k\}$$. Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
2007
Palindromic continued fractions. Zbl 1126.11036
2007
On the Maillet-Baker continued fractions. Zbl 1145.11054
2007
Exponents of diophantine approximation. Zbl 1229.11098
Bugeaud, Yann; Laurent, Michel
2007
On a mixed Littlewood conjecture in Diophantine approximation. Zbl 1209.11064
Bugeaud, Yann; Drmota, Michael; de Mathan, Bernard
2007
A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330
2007
On the Nagell-Ljunggren equation $$\frac{x^n-1}{x-1}=y^q$$. Zbl 1151.11016
Bugeaud, Yann; Mihăilescu, Preda
2007
Approximation by algebraic numbers. Zbl 1155.11003
Bugeaud, Yann
2007
...and 86 more Documents
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#### 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
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#### 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
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#### 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)