Diophantine exponents for mildly restricted approximation

• Published in: Arkiv för matematik Vol. 47; no. 2; pp. 243 - 266
• Main Authors: Bugeaud, Yann, Kristensen, Simon
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2009
• Subjects: Mathematics; Mathematics and Statistics; Algebraic Number; Minimal Polynomial; Diophantine Approximation; Cantelli Lemma; Acta Arith

We are studying the Diophantine exponent μ n , l defined for integers 1≤ l < n and a vector α∈ℝ n by letting where is the scalar product, denotes the distance to the nearest integer and is the generalised cone consisting of all vectors with the height attained among the first l coordinates. We sh...