31 citations · 241 across the 73 of their papers we have counts for
6 papers · 1 filter
On the Zeckendorf representation of smooth numbers
Yann Bugeaud
Among other results, we establish, in a quantitative form, that any sufficiently large integer cannot simultaneously be divisible only by very small primes and have very few digits…
Inhomogeneous Diophantine approximation over fields of formal power series
Yann Bugeaud, L. Singhal, Zhenliang Zhang
We prove a sharp analogue of Minkowski's inhomogeneous approximation theorem over fields of power series . Furthermore, we study the approximation to a give…
Effective simultaneous rational approximation to pairs of real quadratic numbers
Yann Bugeaud
Let be quadratic real numbers in distinct quadratic fields. We establish the existence of effectively computable, positive real numbers and , such that, for every int…
Absolute root separation
Yann Bugeaud, Andrej Dujella, Wenjie Fang +2
The absolute separation of a polynomial is the minimum nonzero difference between the absolute values of its roots. In the case of polynomials with integer coefficients, it can be…
On simultaneous rational approximation to a real number and its integral powers, II
Dmitry Badziahin, Yann Bugeaud
For a positive integer and a real number , let denote the supremum of the real numbers for which there are arbitrarily large positive integers such that $|…
On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
Yann Bugeaud, Zhenliang Zhang
We prove over fields of power series the analogues of several Diophantine approximation results obtained over the field of real numbers. In particular we establish the power series…