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1

Classical and Modular Approaches to Exponential Diophantine Equations I. Fibonacci and Lucas Perfect Powers

Yann Bugeaud, Maurice Mignotte and Samir Siksek

Journal:

Annals of Mathematics

Year:

2006

Language:

english

File:

PDF, 3.27 MB

english, 2006

2

Absolute Real Root Separation

Yann Bugeaud,, Andrej Dujella,, Tomislav Pejković,, Bruno Salvy,

Journal:

American Mathematical Monthly

Year:

2017

Language:

english

File:

PDF, 207 KB

english, 2017

3

Sur l'équation diophantienne

Yann Bugeaud, Maurice Mignotte

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 307 KB

1999

4

On the Complexity of Algebraic Numbers I. Expansions in Integer Bases

Boris Adamczewski and Yann Bugeaud

Journal:

Annals of Mathematics

Year:

2007

Language:

english

File:

PDF, 1.48 MB

english, 2007

5

A Short Proof of the Transcendence of Thue-Morse Continued Fractions

Boris Adamczewski and Yann Bugeaud

Journal:

American Mathematical Monthly

Year:

2007

Language:

english

File:

PDF, 510 KB

english, 2007

6

ON PERFECT POWERS IN LUCAS SEQUENCES

BUGEAUD, YANN, LUCA, FLORIAN, MIGNOTTE, MAURICE, SIKSEK, SAMIR

Journal:

International Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 309 KB

english, 2005

7

On Some Exponential Diophantine Equations

Journal:

Monatshefte für Mathematik

Year:

2001

Language:

english

File:

PDF, 63 KB

english, 2001

8

On Some Results of Alan Baker

Journal:

Year:

2018

Language:

english

File:

PDF, 160 KB

english, 2018

9

On Simple K4-Groups

Yann Bugeaud, Zhenfu Cao, Maurice Mignotte

Journal:

Journal of Algebra

Year:

2001

Language:

english

File:

PDF, 85 KB

english, 2001

10

Sur les nombres de Fibonacci de la forme

Yann Bugeaud, Maurice Mignotte, Samir Siksek

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 86 KB

french, 2004

11

Sets of exact approximation order by rational numbers

Journal:

Mathematische Annalen

Year:

2003

Language:

english

File:

PDF, 201 KB

english, 2003

12

The Legacy of Kurt Mahler

Borwein, Jonathan M., Bugeaud, Yann, Coons, Michael

Journal:

Notices of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 1.12 MB

english, 2015

13

APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION

Journal:

Journal of the London Mathematical Society

Year:

2002

Language:

english

File:

PDF, 218 KB

english, 2002

14

Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation

Bugeaud, Yann, Mignotte, Maurice, Siksek, Samir

Journal:

Compositio Mathematica

Year:

2006

Language:

english

File:

PDF, 472 KB

english, 2006

15

A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers

Bugeaud, Yann, Kim, Dong Han

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 362 KB

english, 2018

16

Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers

Bugeaud, Yann, Liao, Lingmin, Rams, Michał

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2019

Language:

english

File:

PDF, 229 KB

english, 2019

17

A Sturmian sequence related to the uniqueness conjecture for Markoff numbers

Yann Bugeaud, Christophe Reutenauer, Samir Siksek

Journal:

Theoretical Computer Science

Year:

2009

Language:

english

File:

PDF, 511 KB

english, 2009

18

Examples and counterexamples for Riemann sums

Yann Bugeaud, Michel Weber

Journal:

Indagationes Mathematicae

Year:

1998

Language:

english

File:

PDF, 743 KB

english, 1998

19

On the complexity of algebraic numbers, II. Continued fractions

Boris Adamczewski, Yann Bugeaud

Journal:

Acta Mathematica

Year:

2005

Language:

english

File:

PDF, 938 KB

english, 2005

20

Diophantine approximation and Cantor sets

Journal:

Mathematische Annalen

Year:

2008

Language:

english

File:

PDF, 155 KB

english, 2008

21

Bounds for the solutions of superelliptic equations

Journal:

Compositio Mathematica

Year:

1997

Language:

english

File:

PDF, 326 KB

english, 1997

22

Algebraic Numbers Close to 1 in Non-Archimedean Metrics

Journal:

The Ramanujan Journal

Year:

1998

Language:

english

File:

PDF, 73 KB

english, 1998

23

Linear Forms in twom-adic Logarithms and Applications to Diophantine Problems

Journal:

Compositio Mathematica

Year:

2002

Language:

english

File:

PDF, 197 KB

english, 2002

24

Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials

Bonciocat, Nicolae Ciprian, Bugeaud, Yann, Cipu, Mihai, Mignotte, Maurice

Journal:

Communications in Algebra

Year:

2012

Language:

english

File:

PDF, 153 KB

english, 2012

25

On the Maillet-Baker continued fractions

Adamczewski, Boris, Bugeaud, Yann

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2007

Language:

english

File:

PDF, 178 KB

english, 2007

26

Perfect powers from products of terms in Lucas sequences

Bugeaud, Yann, Luca, Florian, Mignotte, Maurice, Siksek, Samir

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2007

Language:

english

File:

PDF, 198 KB

english, 2007

27

Continued fractions with low complexity: transcendence measures and quadratic approximation

Journal:

Compositio Mathematica

Year:

2012

Language:

english

File:

PDF, 659 KB

english, 2012

28

ON THE LITTLEWOOD CONJECTURE IN SIMULTANEOUS DIOPHANTINE APPROXIMATION

ADAMCZEWSKI, BORIS, BUGEAUD, YANN

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 181 KB

english, 2006

29

IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS

BONCIOCAT, NICOLAE CIPRIAN, BUGEAUD, YANN, CIPU, MIHAI, MIGNOTTE, MAURICE

Journal:

International Journal of Number Theory

Year:

2013

Language:

english

File:

PDF, 195 KB

english, 2013

30

Quadratic approximation in ℚ p

Bugeaud, Yann, Pejković, Tomislav

Journal:

International Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 229 KB

english, 2015

31

METRIC CONSIDERATIONS CONCERNING THE MIXED LITTLEWOOD CONJECTURE

BUGEAUD, YANN, HAYNES, ALAN, VELANI, SANJU

Journal:

International Journal of Number Theory

Year:

2011

Language:

english

File:

PDF, 216 KB

english, 2011

32

On simply normal numbers to different bases

Becher, Verónica, Bugeaud, Yann, Slaman, Theodore A.

Journal:

Mathematische Annalen

Year:

2016

Language:

english

File:

PDF, 519 KB

english, 2016

33

Nombres réels de complexité sous-linéaire : mesures d'irrationalité et de transcendance

Adamczewski, Boris, Bugeaud, Yann

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2011

File:

PDF, 284 KB

2011

34

POLYNOMIAL ROOT SEPARATION

BUGEAUD, YANN, MIGNOTTE, MAURICE

Journal:

International Journal of Number Theory

Year:

2010

Language:

english

File:

PDF, 199 KB

english, 2010

35

On the Diophantine Equation x2- 2m= ± yn

Journal:

Proceedings of the American Mathematical Society

Year:

1997

Language:

english

File:

PDF, 246 KB

english, 1997

36

A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION

Journal:

Glasgow Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 73 KB

english, 2003

37

Linear forms in p-adic logarithms and the Diophantine equation formula here

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1999

Language:

english

File:

PDF, 365 KB

english, 1999

38

On the complexity of a putative counterexample to the -adic Littlewood conjecture

Badziahin, Dmitry, Bugeaud, Yann, Einsiedler, Manfred, Kleinbock, Dmitry

Journal:

Compositio Mathematica

Year:

2015

Language:

english

File:

PDF, 431 KB

english, 2015

39

On integers with identical digits

Bugeaud, Yann, Mignotte, Maurice

Journal:

Year:

1999

Language:

english

File:

PDF, 308 KB

english, 1999

40

-PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES

Bugeaud, Yann, Evertse, Jan-Hendrik

Journal:

Year:

2017

Language:

english

File:

PDF, 221 KB

english, 2017

41

Hausdorff dimension and uniform exponents in dimension two

BUGEAUD, YANN, CHEUNG, YITWAH, CHEVALLIER, NICOLAS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2018

Language:

english

File:

PDF, 308 KB

english, 2018

42

Metric Diophantine approximation on the middle-third Cantor set

Bugeaud, Yann, Durand, Arnaud

Journal:

Journal of the European Mathematical Society

Year:

2016

Language:

english

File:

PDF, 286 KB

english, 2016

43

Distribution Modulo One and Diophantine Approximation || Preface

Year:

2012

Language:

english

File:

PDF, 130 KB

english, 2012

44

Distribution Modulo One and Diophantine Approximation || Recurrence sequences

Year:

2012

Language:

english

File:

PDF, 125 KB

english, 2012

45

Bornes effectives pour les solutions des équations enS-unités et des équations de Thue–Mahler

Journal:

Journal of Number Theory

Year:

1998

File:

PDF, 295 KB

1998

46

Approximation par des nombres algébriques

Journal:

Journal of Number Theory

Year:

2000

File:

PDF, 158 KB

2000

47

Approximation par des Nombres Algébriques de Degré Borné et Dimension de Hausdorff

Journal:

Journal of Number Theory

Year:

2002

File:

PDF, 236 KB

2002

48

Sur la complexité des nombres algébriques

Boris Adamczewski, Yann Bugeaud, Florian Luca

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 98 KB

french, 2004

49

Fractional parts of powers and Sturmian words

Yann Bugeaud, Artūras Dubickas

Journal:

Comptes Rendus Mathematique

Year:

2005

Language:

french

File:

PDF, 96 KB

french, 2005

50

On the diophantine equation (xk − 1)(yk − 1) = (zk − 1)

Journal:

Indagationes Mathematicae

Year:

2004

Language:

english

File:

PDF, 314 KB

english, 2004