Yann Bugeaud

Centre National de la Recherche Scientifique — France

Mathematics · Physical Sciences

30h-index3.3kcitations263works0.82yr avg
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Research Topics

Mathematical Dynamics and Fractals(79), Algebraic Geometry and Number Theory(67), Analytic Number Theory Research(62), semigroups and automata theory(57), Computability, Logic, AI Algorithms(38)

Publications263 total

Remarks on uniform recurrence properties for beta-transformation
arXiv (Cornell University)·2025Open Access
On the irrationality exponent of real numbers with low complexity expansion
arXiv (Cornell University)·2025Open Access
On the $b$-ary expansion of a real number whose irrationality exponent is close to 2
arXiv (Cornell University)·2025Open Access
Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
arXiv (Cornell University)·2025Open Access
On the difference between squares and integral $S$-units
Portugaliae Mathematica·2025Open Access
On the difference between squares and integral $S$-units
arXiv (Cornell University)·2025Open Access
Metrical properties of Hurwitz continued fractions
Advances in Mathematics·2025· 5 citedOpen Access
Effective approximation to complex algebraic numbers by quadratic numbers
Canadian Mathematical Bulletin·2025
Effective approximation to complex algebraic numbers by quadratic numbers
arXiv (Cornell University)·2024Open Access
Multiplicative dependence of rational values modulo approximate finitely generated groups
Mathematical Proceedings of the Cambridge Philosophical Society·2024· 1 cited
Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree
Transactions of the American Mathematical Society·2024· 2 cited
Explicit bounds for the solutions of superelliptic equations over number fields
Forum Mathematicum·2024· 1 citedOpen Access
Classical and uniform exponents of multiplicative $p$-adic approximation
Publicacions Matemàtiques·2023Open Access
Some arithmetical properties of convergents to algebraic numbers
Pacific Journal of Mathematics·2023Open Access
Explicit bounds for the solutions of superelliptic equations over number fields
arXiv (Cornell University)·2023Open Access
On the rational approximation to Thue–Morse rational numbers
Rendiconti del Seminario Matematico della Università di Padova·2023Open Access
Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers
Annales de l’institut Fourier·2023· 1 citedOpen Access
Apollonius circles and the number of irreducible factors of polynomials
arXiv (Cornell University)·2023· 1 citedOpen Access
Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree
arXiv (Cornell University)·2023Open Access
Transcendence and continued fraction expansionof values of Hecke–Mahler series
Acta Arithmetica·2023· 3 citedOpen Access
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Frequent Co-authors

Maurice Mignotte(13), Samir Siksek(7), Boris Adamczewski(5), Florian Luca(4), Andrej Dujella(4), Laurent Michel(3), Kálmán Győry(2), T. N. Shorey(1), Michel Laurent(1), Pietro Corvaja(1), Umberto Zannier(1), Zhenfu Cao(1), Michael Stoll(1), Szabolcs Tengely(1), Jan‐Hendrik Evertse(1), Artūras Dubickas(1), Katalin Gyarmati(1), Y. Arun Roy(1), Preda Mihăilescu(1), Nikolay Moshchevitin(1)