6 citations · 7 across the 5 of their papers we have counts for
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Exponents of inhomogeneous Diophantine Approximation
Yann Bugeaud, Michel Laurent
In Diophantine approximation, inhomogeneous problems are linked with homogeneous ones by means of the so-called Transference Theorems. We revisit this classical topic by introducin…
Exponents of Diophantine Approximation and Sturmian Continued Fractions
Yann Bugeaud, Michel Laurent
Let x be a real number and let n be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents w_n(x) and w_n^*(x) defined by Mahler…
Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation
Yann Bugeaud, Maurice Mignotte, Samir Siksek
We solve completely the Lebesgue-Nagell equation x^2+D=y^n, in integers x, y, n>2, for D in the range 1 =< D =< 100.
Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers
Yann Bugeaud, Maurice Mignotte, Samir Siksek
This is the first in a series of papers whereby we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a mod…
On the period of the continued fraction expansion of
Yann Bugeaud, Florian Luca
In this paper, we prove that the period of the continued fraction expansion of tends to infinity when tends to infinity through odd positive integers.
Zero-infinity laws in Diophantine approximation
Y. Bugeaud, M. M. Dodson, S. Kristensen
It is shown that for any translation invariant outer measure M, the M-measure of the intersection of any subset of R^n that is invariant under rational translations and which does…