Yann Bugeaud

1. Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers
   2004/03/02 by Yann Bugeaud, Bugeaud, Yann, Maurice Mignotte +3 · 11 citations
   Mathematics · Physics and Astronomy · #11B39 #11D59 #11D61 #11J86 #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B39 #msc:11D59 #msc:11D61 #msc:11J86
2. On shrinking targets for Z^m actions on tori
   2008/07/24 by Yann Bugeaud, Bugeaud, Yann, Stephen Harrap +5 · 2 citations
   Mathematics · #11J83 (Primary) #37A45 (Secondary) #37E10 #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #Number Theory (math.NT)
3. Exponents of Diophantine Approximation and Sturmian Continued Fractions
   2004/06/03 by Yann Bugeaud, Michel Laurent, Laurent Michel +2 · 1 citation
   Mathematics · Physics and Astronomy · #11J13 #11J82 #Advanced Mathematical Theories and Applications #FOS: Mathematics #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.NT #msc:11J13 #msc:11J82
4. Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation
   2004/05/12 by Yann Bugeaud, Maurice Mignotte, Bugeaud, Yann +3 · 1 citation
   Mathematics · #11D59 #11D61 #11J86 #11Y50 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D59 #msc:11D61 #msc:11J86 #msc:11Y50
5. On Simply Normal Numbers to Different Bases
   2013/11/02 by Verónica Becher, Becher, Verónica, Yann Bugeaud +3 · 1 citation
   Computer Science · Mathematics · #Analytic Number Theory Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Number Theory (math.NT) #Numerical Methods and Algorithms
6. Metrical results on the distribution of fractional parts of powers of real numbers
   2017/10/10 by Yann Bugeaud, Lingmin Liao, Bugeaud, Yann +3 · 1 citation
   Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #Mathematical functions and polynomials #Number Theory (math.NT)
7. On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations
   2020/01/02 by Yann Bugeaud, Bugeaud, Yann, Dong Han Kim +5 · 1 citation
   Mathematics · Physics and Astronomy · #11J91 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum chaos and dynamical systems
8. Transcendence and continued fraction expansion of values of Hecke-Mahler series
   2022/03/24 by Yann Bugeaud, Michel Laurent, Bugeaud, Yann +1 · 1 citation
   Mathematics · #11J04 #11J70 #11J81 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)
9. Root separation for irreducible integer polynomials
   2011/10/06 by Yann Bugeaud, Andrej Dujella · 1 citation
   Computer Science · Mathematics · #Polynomial and algebraic computation #Commutative Algebra and Its Applications #Analytic Number Theory Research