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Bugeaud, Yann

  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 · 9 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. Metric Diophantine approximation on the middle-third Cantor set
    2013/05/28 by Bugeaud, Yann, Durand, Arnaud · 5 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
  3. Exponents of Diophantine Approximation and Sturmian Continued Fractions
    2004/06/03 by Yann Bugeaud, Laurent Michel, Michel Laurent +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. On shrinking targets for Zm actions on tori
    2008/07/24 by Yann Bugeaud, Bugeaud, Yann, Stephen Harrap +5 · 1 citation
    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)
  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. The Irrationality Exponents of Computable Numbers
    2014/10/04 by Becher, Verónica, Bugeaud, Yann, Slaman, Theodore A. · 1 citation
    #FOS: Mathematics #Number Theory (math.NT)
  7. 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)
  8. 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
  9. 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)