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- Yann Bugeaud

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
5,313
251
World Ranking
2036
National Ranking
129

- Real number
- Number theory
- Hyperelliptic curve cryptography

Yann Bugeaud conducts interdisciplinary study in the fields of Pure mathematics and Applied mathematics through his works. Yann Bugeaud connects Applied mathematics with Pure mathematics in his research. He undertakes interdisciplinary study in the fields of Mathematical analysis and Distribution (mathematics) through his works. He conducts interdisciplinary study in the fields of Distribution (mathematics) and Mathematical analysis through his research. Yann Bugeaud regularly links together related areas like Hausdorff dimension in his Combinatorics studies. His Discrete mathematics study frequently draws connections between adjacent fields such as Diophantine approximation. He undertakes interdisciplinary study in the fields of Diophantine approximation and Real number through his works. In his research, Yann Bugeaud undertakes multidisciplinary study on Real number and Discrete mathematics. He merges many fields, such as Diophantine equation and Algebraic number, in his writings.

- Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers (227 citations)
- On the complexity of algebraic numbers I. Expansions in integer bases (167 citations)
- Approximation by algebraic numbers (110 citations)

Diophantine equation is connected with Diophantine approximation and Diophantine set in his research. He integrates several fields in his works, including Diophantine approximation and Diophantine equation. His study connects Prime (order theory) and Combinatorics. His research on Prime (order theory) often connects related topics like Combinatorics. His Pure mathematics study frequently intersects with other fields, such as Algebra over a field. Much of his study explores Algebra over a field relationship to Pure mathematics. Yann Bugeaud connects Discrete mathematics with Geometry in his research. Geometry and Discrete mathematics are two areas of study in which Yann Bugeaud engages in interdisciplinary work. Mathematical analysis connects with themes related to Algebraic number in his study.

- Combinatorics (61.79%)
- Pure mathematics (52.85%)
- Discrete mathematics (50.41%)

- Combinatorics (75.00%)
- Linguistics (75.00%)
- Mathematical analysis (50.00%)

In his work, Exponent is strongly intertwined with Linguistics, which is a subfield of Zero (linguistics). His research combines Linguistics and Exponent. His Programming language study frequently intersects with other fields, such as Integer (computer science) and Set (abstract data type). His Set (abstract data type) study frequently draws connections between related disciplines such as Programming language. His studies link Prime (order theory) with Combinatorics. Mathematical analysis and Distribution (mathematics) are two areas of study in which he engages in interdisciplinary research. He applies his multidisciplinary studies on Distribution (mathematics) and Mathematical analysis in his research. His work on Sequence (biology) is being expanded to include thematically relevant topics such as Biochemistry. His Biochemistry study frequently draws connections between adjacent fields such as Sequence (biology).

- A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers (11 citations)
- Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers (9 citations)
- Hausdorff dimension and uniform exponents in dimension two (6 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Approximation by Algebraic Numbers

Yann Bugeaud.

**(2004)**

460 Citations

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

Yann Bugeaud;Maurice Mignotte;Samir Siksek.

Annals of Mathematics **(2006)**

367 Citations

Distribution Modulo One and Diophantine Approximation

Yann Bugeaud.

**(2012)**

229 Citations

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

Boris Adamczewski;Yann Bugeaud.

Annals of Mathematics **(2007)**

214 Citations

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

Y. Bugeaud;T. N. Shorey.

Crelle's Journal **(2001)**

125 Citations

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

Yann Bugeaud;Maurice Mignotte;Samir Siksek.

Compositio Mathematica **(2006)**

119 Citations

Sur la complexité des nombres algébriques

Boris Adamczewski;Yann Bugeaud;Florian Luca.

Comptes Rendus Mathematique **(2004)**

112 Citations

Bounds for the solutions of unit equations

Yann Bugeaud;Kálmán Győry.

Acta Arithmetica **(1996)**

112 Citations

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

Yann Bugeaud;Kálmán Győry.

Acta Arithmetica **(1996)**

110 Citations

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

Y. Bugeaud;P. Corvaja;U. Zannier.

Mathematische Zeitschrift **(2003)**

95 Citations

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