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Mathematics

D-Index
40
Citations
6296
World Ranking
2067
National Ranking
127

Overview

Yann Bugeaud is affiliated with the University of Strasbourg in France. Their research primarily spans the fields of Mathematics and Computer Science, with substantial contributions to the following subfields:

  • Mathematical Physics
  • Computational Theory and Mathematics
  • Geometry and Topology
  • Algebra and Number Theory
  • Applied Mathematics

The scientist's work covers main topics including:

  • Mathematical Dynamics and Fractals
  • Analytic Number Theory Research
  • Advanced Mathematical Theories
  • Semigroups and Automata Theory
  • Meromorphic and Entire Functions
  • Coding Theory and Cryptography
  • Algebraic Geometry and Number Theory

Yann Bugeaud has published several recent papers in various academic journals. Selected examples include:

  • "Metrical properties of Hurwitz continued fractions," 2025, Advances in Mathematics
  • "Effective simultaneous rational approximation to pairs of real quadratic numbers," 2020, Moscow Journal of Combinatorics and Number Theory
  • "Transcendence and continued fraction expansionof values of Hecke-Mahler series," 2023, Acta Arithmetica
  • "Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree," 2024, Transactions of the American Mathematical Society
  • "On simultaneous rational approximation to a p-adic number and its integral powers, II," 2021, Proceedings of the Edinburgh Mathematical Society

The researcher has collaborated frequently with a number of co-authors, including:

  • Prajeet Bajpai
  • Johannes Schleischitz
  • Attila Bérczes
  • Kálmán Győry
  • Jorge Mello

Bugeaud's publications are often hosted in venues such as:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Moscow Journal of Combinatorics and Number Theory
  • Acta Arithmetica
  • Transactions of the American Mathematical Society

Best Publications

  • Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers

    Yann Bugeaud;Maurice Mignotte;Samir Siksek

  • Approximation by Algebraic Numbers

    Yann Bugeaud

  • Distribution Modulo One and Diophantine Approximation

    Yann Bugeaud

  • On the complexity of algebraic numbers I. Expansions in integer bases

    Boris Adamczewski;Yann Bugeaud

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

    Yann Bugeaud;Maurice Mignotte;Samir Siksek

  • On the number of solutions of the generalized Ramanujan-Nagell equation

    Y. Bugeaud;T. N. Shorey

  • Bounds for the solutions of Thue-Mahler equations and norm form equations

    Yann Bugeaud;Kálmán Győry

  • Sur la complexité des nombres algébriques

    Boris Adamczewski;Yann Bugeaud;Florian Luca

  • Bounds for the solutions of unit equations

    Yann Bugeaud;Kálmán Győry

  • On Exponents of Homogeneous and Inhomogeneous Diophantine Approximation

    Y. Bugeaud;M. Laurent

  • Minoration effective de la distancep-adique entre puissances de nombres algébriques

    Y. Bugeaud;M. Laurent

  • An upper bound for the G.C.D. of a n - 1 and b n -1

    Y. Bugeaud;P. Corvaja;U. Zannier

  • Distribution of full cylinders and the Diophantine properties of the orbits in $eta$-expansions

    Yann Bugeaud;Bao-Wei Wang

  • Exponents of Diophantine Approximation and Sturmian Continued Fractions

    Yann Bugeaud;Michel Laurent

  • On the complexity of algebraic numbers, II. Continued fractions

    Boris Adamczewski;Yann Bugeaud

  • Bounds for the solutions of superelliptic equations

    Yann Bugeaud

  • Diophantine approximation and Cantor sets

    Yann Bugeaud

  • Classical and modular approaches to exponential Diophantine equations

    Yann Bugeaud;Maurice Mignotte;Samir Siksek

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

    Yann Bugeaud

  • On Simple K4-Groups

    Yann Bugeaud;Zhenfu Cao;Maurice Mignotte

  • Approximation by algebraic numbers - Cambridge Tracts in Mathematics 160

    Yann Bugeaud

  • On the complexity of algebraic number I. Expansions in integer bases

    Boris Adamczewski;Yann Bugeaud

Frequent Co-Authors

Dmitry Kleinbock
Dmitry Kleinbock Brandeis University
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
Wojciech Szpankowski
Wojciech Szpankowski Purdue University West Lafayette
Christophe Reutenauer
Christophe Reutenauer University of Quebec at Montreal
Bruno Salvy
Bruno Salvy French Institute for Research in Computer Science and Automation - INRIA
Umberto Zannier
Umberto Zannier Scuola Normale Superiore di Pisa
Kathrin Bringmann
Kathrin Bringmann University of Cologne

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