31 citations · 241 across the 73 of their papers we have counts for
4 papers · 1 filter
On two notions of complexity of algebraic numbers
Yann Bugeaud, Jan-Hendrik Evertse
we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebrai…
Approximation of complex algebraic numbers by algebraic numbers of bounded degree
Yann Bugeaud, Jan-Hendrik Evertse
We investigate how well complex algebraic numbers can be approximated by algebraic numbers of degree at most n. We also investigate how well complex algebraic numbers can be approx…
Diophantine exponents for mildly restricted approximation
Yann Bugeaud, Simon Kristensen
We are studying the Diophantine exponent μ_{n,l}$ defined for integers 1 \leq l < n and a vector α\in \mathbb{R}^n by letting μ_{n,l} = \sup{μ\geq 0: 0 < ||x \cdot α|| < H(x)^{-μ}…
Sums of the error term function in the mean square for
Yann Bugeaud, Aleksandar Ivić
Sums of the form fixed) are investigated, where is the error term in t…