6 citations · 6 across the 2 of their papers we have counts for
3 papers
math.NT2004★ 6 cited
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…
math.NT2004
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…
math.NT2004★ 1 cited
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…