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Author ID: bugeaud.yann Recent zbMATH articles by "Bugeaud, Yann"
Published as: Bugeaud, Yann; Bugeaud, Y.
Homepage: http://irma.math.unistra.fr/~bugeaud/
External Links: MGP · ORCID · Math-Net.Ru · dblp · GND
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Co-Authors

79 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
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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 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
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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

Publications by Year

Citations contained in zbMATH Open

192 Publications have been cited 1,957 times in 1,113 Documents Cited by Year
Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
147
2006
Approximation by algebraic numbers. Zbl 1055.11002
Bugeaud, Yann
123
2004
Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002
Cohen, Henri
97
2007
On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094
Adamczewski, Boris; Bugeaud, Yann
62
2007
Distribution modulo one and Diophantine approximation. Zbl 1260.11001
Bugeaud, Yann
60
2012
Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
39
2006
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
38
2003
Diophantine approximation and Cantor sets. Zbl 1163.11056
Bugeaud, Yann
33
2008
Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062
Bugeaud, Yann; Wang, Bao-Wei
33
2014
Exponents of Diophantine approximation and Sturmian continued fractions. Zbl 1155.11333
Bugeaud, Yann; Laurent, Michel
30
2005
On the complexity of algebraic numbers. (Sur la complexité des nombres algébriques.) Zbl 1119.11019
Adamczewski, Boris; Bugeaud, Yann; Luca, Florian
30
2004
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 0870.11045
Bugeaud, Y.; Laurent, M.
29
1996
On the complexity of algebraic numbers. II: Continued fractions. Zbl 1195.11093
Adamczewski, Boris; Bugeaud, Yann
29
2005
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
28
2008
On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027
Bugeaud, Yann; Shorey, T. N.
27
2001
Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024
Bugeaud, Yann; Györy, Kálmán
25
1996
On simple \(K_4\)-groups. Zbl 0989.20017
Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice
23
2001
Approximation by algebraic integers and Hausdorff dimension. Zbl 1020.11049
Bugeaud, Yann
23
2002
On exponents of homogeneous and inhomogeneous Diophantine approximation. Zbl 1119.11039
Bugeaud, Yann; Laurent, Michel
22
2005
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, 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 1271.11074
Bugeaud, Yann
22
2011
On a property of Pisot numbers and related questions. Zbl 0923.11148
Bugeaud, Y.
21
1996
Polynomial root separation. Zbl 1205.11032
Bugeaud, 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 1200.11054
Adamczewski, Boris; Bugeaud, Yann
19
2010
On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
19
2007
Dynamics for \(\beta \)-shifts and Diophantine approximation. Zbl 1140.11035
Adamczewski, Boris; Bugeaud, Yann
18
2007
On the distance between roots of integer polynomials. Zbl 1071.11016
Bugeaud, Yann; Mignotte, Maurice
17
2004
A note on inhomogeneous Diophantine approximation. Zbl 1039.11048
Bugeaud, Yann
17
2003
On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095
Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju
16
2010
On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100
Bugeaud, Yann
16
2010
Root separation for irreducible integer polynomials. Zbl 1273.11049
Bugeaud, Yann; Dujella, Andrej
16
2011
Linear forms in \(p\)-adic logarithms and the diophantine equation \(\frac{x^n-1}{x-1} = y^q\). Zbl 0940.11019
Bugeaud, Yann
16
1999
Linear mod one transformations and the distribution of fractional parts \(\{\xi(p/q)^n\}\). Zbl 1061.11041
Bugeaud, Yann
15
2004
Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101
Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan
15
2016
On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086
Bugeaud, Yann; Laurent, Michel
14
2010
Palindromic continued fractions. Zbl 1126.11036
Adamczewski, Boris; Bugeaud, Yann
14
2007
Bounds for the solutions of unit equations. Zbl 0861.11023
Bugeaud, Yann; Györy, Kálmán
14
1996
Sets of exact approximation order by rational numbers. Zbl 1044.11059
Bugeaud, Yann
14
2003
On integers with identical digits. Zbl 1033.11012
Bugeaud, Yann; Mignotte, Maurice
14
1999
On some exponential Diophantine equations. Zbl 1014.11023
Bugeaud, Yann
13
2001
Bounds for the solutions of superelliptic equations. Zbl 0886.11016
Bugeaud, Yann
13
1997
The Diophantine equation \(x^2 + c = y^n\) : a brief overview. Zbl 1189.11019
Muriefah, Fadwa S. Abu; Bugeaud, Yann
12
2006
Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037
Amou, Masaaki; Bugeaud, Yann
12
2010
On the Maillet-Baker continued fractions. Zbl 1145.11054
Adamczewski, Boris; Bugeaud, Yann
12
2007
On a problem of Diophantus for higher powers. Zbl 1042.11019
Bugeaud, Yann; Dujella, Andrej
12
2003
Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053
Adamczewski, Boris; Bugeaud, Yann
11
2010
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
11
2008
On two notions of complexity of algebraic numbers. Zbl 1236.11062
Bugeaud, Yann; Evertse, Jan-Hendrik
11
2008
Automatic continued fractions are transcendental or quadratic. (Les fractions continues automatiques sont transcendantes ou quadratiques.) Zbl 1292.11080
Bugeaud, Yann
11
2013
Uniform Diophantine approximation related to \(b\)-ary and \(\beta\)-expansions. Zbl 1354.37012
Bugeaud, Yann; Liao, Lingmin
11
2016
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
10
2008
Multiplicative Diophantine approximation. Zbl 1266.11083
Bugeaud, Yann
10
2009
Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007
Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak
10
2010
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
10
2012
Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078
Bugeaud, Yann
10
2012
On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
10
2004
Intersective sets and Diophantine approximation. Zbl 1196.11103
Bugeaud, Yann
10
2004
On the Littlewood conjecture in simultaneous Diophantine approximation. Zbl 1093.11052
Adamczewski, Boris; Bugeaud, Yann
10
2006
Linear forms in logarithms and applications. Zbl 1394.11001
Bugeaud, Yann
10
2018
Exponents of diophantine approximation. Zbl 1229.11098
Bugeaud, Yann; Laurent, Michel
10
2007
Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071
Bugeaud, Yann; Moshchevitin, Nikolay
10
2011
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
9
2011
Dynamic of some contracting, piecewise linear functions over \([0,1[\). (Dynamique de certaines applications contractantes, linéaires par morceaux, sur \([0,1[\).) Zbl 0802.46036
Bugeaud, Yann
9
1993
Fractional parts of powers and Sturmian words. Zbl 1140.11318
Bugeaud, 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 0935.11008
Bugeaud, Yann; Conze, Jean-Pierre
9
1999
Root separation for reducible integer polynomials. Zbl 1290.11056
Bugeaud, Yann; Dujella, Andrej
9
2014
On Pillai’s Diophantine equation. Zbl 1136.11026
Bugeaud, Yann; Luca, Florian
9
2006
On a mixed Littlewood conjecture in Diophantine approximation. Zbl 1209.11064
Bugeaud, Yann; Drmota, Michael; de Mathan, Bernard
8
2007
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, 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 1047.11028
Bugeaud, Yann; Shorey, T. N.
8
2002
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 1040.11015
Bugeaud, Yann; Mignotte, Maurice
8
2002
A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008
Bugeaud, Yann; Han, Guo-Niu
8
2014
An inhomogeneous Jarník theorem. Zbl 1148.11035
Bugeaud, Yann
8
2004
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
8
2011
Real numbers of sublinear complexity: irrationality and transcendence measures. (Nombres réels de complexité sous-linéaire : mesures d’irrationalité et de transcendance.) Zbl 1255.11037
Adamczewski, Boris; Bugeaud, Yann
8
2011
On the Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). Zbl 1151.11016
Bugeaud, Yann; Mihăilescu, Preda
7
2007
A short proof of the transcendence of Thue-Morse continued fractions. Zbl 1132.11330
Adamczewski, Boris; Bugeaud, Yann
7
2007
On generalizations of a problem of Diophantus. Zbl 1065.11015
Bugeaud, Yann; Gyarmati, Katalin
7
2004
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 1102.11305
Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice
7
2002
On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030
Bugeaud, Yann; Mignotte, Maurice; Roy, Yves
7
2000
On simultaneous uniform approximation to a \(p\)-adic number and its square. Zbl 1204.11105
Bugeaud, Yann
6
2010
Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069
Bugeaud, Yann; Haynes, Alan; Velani, Sanju
6
2011
Approximation by algebraic numbers. Zbl 1155.11003
Bugeaud, Yann
6
2007
On Fibonacci numbers with few prime divisors. Zbl 1087.11009
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
6
2005
A quantitative lower bound for the greatest prime factor of \((ab+1)(bc+1)(ca+1)\). Zbl 1122.11060
Bugeaud, Yann; Luca, Florian
6
2004
On uniform approximation to real numbers. Zbl 1356.11042
Bugeaud, Yann; Schleischitz, Johannes
6
2016
Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083
Bugeaud, Yann; Durand, Arnaud
6
2016
Diophantine approximation of Mahler numbers. Zbl 1320.11064
Bell, Jason P.; Bugeaud, Yann; Coons, Michael
6
2015
Mahler’s classification of numbers compared with Koksma’s. Zbl 1029.11034
Bugeaud, Yann
6
2003
On the quadratic Lagrange spectrum. Zbl 1358.11077
Bugeaud, Yann
6
2014
Approximation of a real number by algebraic numbers of given degree. (Approximation d’un nombre réel par des nombres algébriques de degré donné.) Zbl 0948.11029
Bugeaud, Yann; Teulié, Olivier
6
2000
Linear forms in two \(m\)-adic logarithms and applications to Diophantine problems. Zbl 1171.11318
Bugeaud, Yann
6
2002
Liouville numbers and normal numbers. (Nombres de Liouville et nombres normaux.) Zbl 1006.11043
Bugeaud, Yann
6
2002
A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. Zbl 1409.68224
Bugeaud, Yann; Kim, Dong Han
6
2019
On sequences \((a_n \xi)_{n \geq 1}\) converging modulo 1. Zbl 1266.11084
Bugeaud, Yann
5
2009
Sets of exact approximation order by rational numbers. II. Zbl 1212.11071
Bugeaud, Yann
5
2008
On fractional parts of powers of real numbers close to 1. Zbl 1246.11134
Bugeaud, Yann; Moshchevitin, Nikolay
5
2012
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
5
2013
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
5
2013
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.
5
1999
On simultaneous rational approximation to a real number and its integral powers. II. Zbl 1456.11123
Badziahin, Dzmitry; Bugeaud, Yann
3
2020
A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. Zbl 1409.68224
Bugeaud, Yann; Kim, Dong Han
6
2019
On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series. Zbl 1436.11098
Bugeaud, Yann; Zhang, Zhenliang
5
2019
Metrical results on the distribution of fractional parts of powers of real numbers. Zbl 1476.11104
Bugeaud, Yann; Liao, Lingmin; Rams, Michał
4
2019
Hausdorff dimension and uniform exponents in dimension two. Zbl 1450.11081
Bugeaud, Yann; Cheung, Yitwah; Chevallier, Nicolas
3
2019
Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields. Zbl 1465.11163
Bugeaud, Yann
2
2019
On perfect powers in linear recurrence sequences of integers. Zbl 1480.11037
Bugeaud, Yann; Kaneko, Hajime
1
2019
Linear forms in logarithms and applications. Zbl 1394.11001
Bugeaud, Yann
10
2018
On the digital representation of smooth numbers. Zbl 1442.11017
Bugeaud, Yann; Kaneko, Hajime
2
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
1
2018
On the digital representation of integers with bounded prime factors. Zbl 1441.11015
Bugeaud, Yann
1
2018
On Mahler’s classification of \(p\)-adic numbers. Zbl 1448.11130
Bugeaud, Yann; Kekeç, Gülcan
1
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 1439.11172
Bugeaud, Yann
1
2018
Absolute real root separation. Zbl 1391.11058
Bugeaud, Yann; Dujella, Andrej; Pejković, Tomislav; Salvy, Bruno
3
2017
\(S\)-parts of terms of integer linear recurrence sequences. Zbl 1434.11042
Bugeaud, Yann; Evertse, Jan-Hendrik
2
2017
On the expansions of real numbers in two integer bases. (Sur le développement des nombres réels en deux bases entières.) Zbl 1433.11004
Bugeaud, Yann; Kim, Dong Han
1
2017
Irreducibility criteria for compositions of polynomials with integer coefficients. Zbl 1360.11109
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
1
2017
On the expansions of real numbers in two multiplicatively dependent bases. Zbl 1437.11011
Bugeaud, Yann; Kim, Dong Han
1
2017
On the \(b\)-ary expansions of \(\log(1+\frac1a)\) and \(e\). Zbl 1434.11023
Bugeaud, Yann; Kim, Dong Han
1
2017
Hankel determinants, Padé approximations, and irrationality exponents. Zbl 1415.11101
Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan
15
2016
Uniform Diophantine approximation related to \(b\)-ary and \(\beta\)-expansions. Zbl 1354.37012
Bugeaud, Yann; Liao, Lingmin
11
2016
On uniform approximation to real numbers. Zbl 1356.11042
Bugeaud, Yann; Schleischitz, Johannes
6
2016
Metric Diophantine approximation on the middle-third Cantor set. Zbl 1353.11083
Bugeaud, Yann; Durand, Arnaud
6
2016
Exponents of Diophantine approximation. Zbl 1406.11067
Bugeaud, Yann
4
2016
The irrationality exponents of computable numbers. Zbl 1336.11053
Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A.
4
2016
Effective irrationality measures for quotients of logarithms of rational numbers. Zbl 1408.11072
Bugeaud, Yann
3
2016
On simply normal numbers to different bases. Zbl 1343.11065
Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A.
3
2016
Diophantine approximation of Mahler numbers. Zbl 1320.11064
Bell, Jason P.; Bugeaud, Yann; Coons, Michael
6
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
4
2015
Quadratic approximation in \(\mathbb{Q}_{p}\). Zbl 1307.11082
Bugeaud, Yann; Pejković, Tomislav
4
2015
On the multiples of a badly approximable vector. Zbl 1325.11062
Bugeaud, Yann
3
2015
Expansions of algebraic numbers. Zbl 1387.11045
Bugeaud, Yann
2
2015
Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2
2015
Quadratic approximation to automatic continued fractions. Zbl 1387.11051
Bugeaud, Yann
1
2015
Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062
Bugeaud, Yann; Wang, Bao-Wei
33
2014
Root separation for reducible integer polynomials. Zbl 1290.11056
Bugeaud, Yann; Dujella, Andrej
9
2014
A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence. Zbl 1298.05008
Bugeaud, Yann; Han, Guo-Niu
8
2014
On the quadratic Lagrange spectrum. Zbl 1358.11077
Bugeaud, Yann
6
2014
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
4
2014
Around the Littlewood conjecture in Diophantine approximation. Zbl 1367.11059
Bugeaud, Yann
3
2014
Perfect powers with three digits. Zbl 1372.11009
Bennett, Michael A.; Bugeaud, Yann
3
2014
Automatic continued fractions are transcendental or quadratic. (Les fractions continues automatiques sont transcendantes ou quadratiques.) Zbl 1292.11080
Bugeaud, Yann
11
2013
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
5
2013
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
5
2013
On rational approximation of the binary Thue-Morse-Mahler number. Zbl 1285.11100
Bugeaud, Yann; Queffélec, Martine
2
2013
On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064
Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2
2013
Transcendence with Rosen continued fractions. Zbl 1331.11054
Bugeaud, Yann; Hubert, Pascal; Schmidt, Thomas A.
2
2013
Hausdorff dimension and Diophantine approximation. Zbl 1268.28008
Bugeaud, Yann
1
2013
Distribution modulo one and Diophantine approximation. Zbl 1260.11001
Bugeaud, Yann
60
2012
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
10
2012
Continued fractions with low complexity: transcendence measures and quadratic approximation. Zbl 1328.11078
Bugeaud, Yann
10
2012
On fractional parts of powers of real numbers close to 1. Zbl 1246.11134
Bugeaud, Yann; Moshchevitin, Nikolay
5
2012
On the expansions of a real number to several integer bases. Zbl 1257.11008
Bugeaud, Yann
4
2012
Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2
2012
Variations around a problem of Mahler and Mendès France. Zbl 1254.11072
Bugeaud, Yann
1
2012
Effective results for restricted rational approximation to quadratic irrationals. Zbl 1306.11053
Bennett, Michael A.; Bugeaud, Yann
1
2012
On the rational approximation to the Thue-Morse-Mahler numbers. (Sur l’approximation rationnelle des nombres de Thue-Morse-Mahler.) Zbl 1271.11074
Bugeaud, Yann
22
2011
Root separation for irreducible integer polynomials. Zbl 1273.11049
Bugeaud, Yann; Dujella, Andrej
16
2011
Badly approximable numbers and Littlewood-type problems. Zbl 1231.11071
Bugeaud, Yann; Moshchevitin, Nikolay
10
2011
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
9
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
8
2011
Real numbers of sublinear complexity: irrationality and transcendence measures. (Nombres réels de complexité sous-linéaire : mesures d’irrationalité et de transcendance.) Zbl 1255.11037
Adamczewski, Boris; Bugeaud, Yann
8
2011
Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069
Bugeaud, Yann; Haynes, Alan; Velani, Sanju
6
2011
Sets of exact approximation order by rational numbers. III. Zbl 1211.11084
Bugeaud, Yann; Moreira, Carlos Gustavo
4
2011
Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053
Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel
2
2011
Quantitative versions of the subspace theorem and applications. Zbl 1272.11089
Bugeaud, Yann
2
2011
Polynomial root separation. Zbl 1205.11032
Bugeaud, 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 1200.11054
Adamczewski, Boris; Bugeaud, Yann
19
2010
On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095
Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju
16
2010
On simultaneous rational approximation to a real number and its integral powers. Zbl 1229.11100
Bugeaud, Yann
16
2010
On transfer inequalities in Diophantine approximation. II. Zbl 1234.11086
Bugeaud, Yann; Laurent, Michel
14
2010
Exponents of Diophantine approximation and expansions in integer bases. Zbl 1188.11037
Amou, Masaaki; Bugeaud, Yann
12
2010
Transcendence measures for continued fractions involving repetitive or symmetric patterns. Zbl 1200.11053
Adamczewski, Boris; Bugeaud, Yann
11
2010
Schmidt’s game, fractals, and numbers normal to no base. Zbl 1228.28007
Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak
10
2010
On simultaneous uniform approximation to a \(p\)-adic number and its square. Zbl 1204.11105
Bugeaud, Yann
6
2010
Transcendence and Diophantine approximation. Zbl 1271.11073
Adamczewski, Boris; Bugeaud, Yann
3
2010
Multiplicative Diophantine approximation. Zbl 1266.11083
Bugeaud, Yann
10
2009
On sequences \((a_n \xi)_{n \geq 1}\) converging modulo 1. Zbl 1266.11084
Bugeaud, Yann
5
2009
On the \(\beta \)-expansion of an algebraic number in an algebraic base \(\beta \). Zbl 1194.11022
Bugeaud, Yann
4
2009
On the approximation to algebraic numbers by algebraic numbers. Zbl 1194.11076
Bugeaud, Yann
2
2009
Approximation of complex algebraic numbers by algebraic numbers of bounded degree. Zbl 1176.11031
Bugeaud, Yann; Evertse, Jan-Hendrik
1
2009
A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049
Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir
1
2009
Diophantine approximation and Cantor sets. Zbl 1163.11056
Bugeaud, Yann
33
2008
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
28
2008
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
22
2008
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
11
2008
On two notions of complexity of algebraic numbers. Zbl 1236.11062
Bugeaud, Yann; Evertse, Jan-Hendrik
11
2008
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
10
2008
Sets of exact approximation order by rational numbers. II. Zbl 1212.11071
Bugeaud, Yann
5
2008
On a mixed Littlewood conjecture in fields of power series. Zbl 1147.11035
Bugeaud, Yann; de Mathan, Bernard
4
2008
An explicit lower bound for the block complexity of an algebraic number. Zbl 1268.11099
Bugeaud, Yann
3
2008
Mahler’s classification of numbers compared with Koksma’s. II. Zbl 1214.11082
Bugeaud, Yann
1
2008
Sums of the error term function in the mean square for \(\zeta (s)\). Zbl 1175.11046
Bugeaud, Yann; Ivić, Aleksandar
1
2008
On a problem of Mahler and Szekeres on approximation by roots of integers. Zbl 1172.11023
Bugeaud, Yann; Dubickas, Artūras
1
2008
Linear forms in the logarithms of algebraic numbers close to 1 and applications to Diophantine equations. Zbl 1194.11079
Bugeaud, Yann
1
2008
Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002
Cohen, Henri
97
2007
On the complexity of algebraic numbers. I: Expansions in integer bases. Zbl 1195.11094
Adamczewski, Boris; Bugeaud, Yann
62
2007
On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
19
2007
Dynamics for \(\beta \)-shifts and Diophantine approximation. Zbl 1140.11035
Adamczewski, Boris; Bugeaud, Yann
18
2007
Palindromic continued fractions. Zbl 1126.11036
Adamczewski, Boris; Bugeaud, Yann
14
2007
...and 92 more Documents
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Cited by 935 Authors

93 Bugeaud, Yann
82 Luca, Florian
34 Togbé, Alain
32 Dubickas, Artūras
20 Marques, Diego
17 Adamczewski, Boris
16 Bennett, Michael A.
16 Wang, Baowei
15 Badziahin, Dzmitry A.
15 Mignotte, Maurice
15 Schleischitz, Johannes
15 Siksek, Samir
14 Keskin, Refik
13 Simmons, David
12 Becher, Verónica
12 Ziegler, Volker
11 Budarina, Natalia Viktorovna
11 Fishman, Lior
10 Bravo, Jhon Jairo
10 Coons, Michael
10 Gómez, Carlos Alexis
10 Roy, Damien
9 Bernik, Vasiliĭ Ivanovich
9 Cipu, Mihai
9 Ddamulira, Mahadi
9 Dujella, Andrej
9 Erduvan, Fatih
9 Fujita, Yasutsugu Fujita
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 Pintér, Ákos
8 Velani, Sanju L.
8 Yuan, Pingzhi
7 Carton, Olivier
7 Han, Guo-Niu
7 Kaliada, Dzianis
7 Persson, Tomas
7 Rihane, Salah Eddine
7 Shallit, Jeffrey O.
7 Shparlinski, Igor E.
7 Tengely, Szabolcs
6 Fuchs, Clemens
6 Ghosh, Anish
6 Götze, Friedrich
6 Kekeç, Gülcan
6 Kim, Donghan
6 Kleinbock, Dmitry Ya.
6 Li, Bing
6 Miyazaki, Takafumi
6 Pejković, Tomislav
6 Şiar, Zafer
6 Slaman, Theodore A.
6 Soydan, Gokhan
6 Xu, Jian
6 Zannier, Umberto M.
6 Zhou, Qinglong
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 Kaneko, Hajime
5 Le, Maohua
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 Trojovský, Pavel
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 835 more Authors
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Cited in 213 Serials

101 Journal of Number Theory
48 International Journal of Number Theory
45 Journal de Théorie des Nombres de Bordeaux
30 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 Transactions of the American Mathematical Society
21 Mathematical Proceedings of the Cambridge Philosophical Society
21 Advances in Mathematics
21 Mathematische Zeitschrift
21 Indagationes Mathematicae. New Series
19 Periodica Mathematica Hungarica
17 Mathematika
17 The Ramanujan Journal
15 Ergodic Theory and Dynamical Systems
15 Boletín de la Sociedad Matemática Mexicana. Third Series
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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
8 Israel Journal of Mathematics
8 Rocky Mountain Journal of Mathematics
8 Fractals
8 Journal of Integer Sequences
8 Journal of the Australian Mathematical Society
7 Nonlinearity
7 Journal of Combinatorial Theory. Series A
7 Mathematica Slovaca
7 Quaestiones Mathematicae
7 Acta Mathematica Hungarica
7 Journal of Symbolic Computation
7 Journal of Mathematical Sciences (New York)
7 Turkish Journal of Mathematics
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Mediterranean Journal of Mathematics
7 Proceedings of the Steklov Institute of Mathematics
6 Inventiones Mathematicae
6 Journal für die Reine und Angewandte Mathematik
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Proceedings of the Japan Academy. Series A
6 Results in Mathematics
6 Finite Fields and their Applications
6 Journal of the European Mathematical Society (JEMS)
6 Trudy Instituta Matematiki
6 Integers
5 Discrete Mathematics
5 Archiv der Mathematik
5 Advances in Applied Mathematics
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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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 Information and Computation
4 Theory of Computing Systems
4 Annals of Mathematics. Second Series
4 Chebyshevskiĭ Sbornik
4 Journal of Modern Dynamics
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
2 Pacific Journal of Mathematics
...and 113 more Serials
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Cited in 46 Fields

977 Number theory (11-XX)
114 Dynamical systems and ergodic theory (37-XX)
88 Measure and integration (28-XX)
74 Computer science (68-XX)
49 Combinatorics (05-XX)
37 Group theory and generalizations (20-XX)
33 Algebraic geometry (14-XX)
20 Field theory and polynomials (12-XX)
18 Probability theory and stochastic processes (60-XX)
13 Mathematical logic and foundations (03-XX)
13 Functions of a complex variable (30-XX)
11 Topological groups, Lie groups (22-XX)
11 Harmonic analysis on Euclidean spaces (42-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)
7 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)
2 Biology and other natural sciences (92-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)

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