Diophantine exponents for mildly restricted approximation
نویسندگان
چکیده
منابع مشابه
Diophantine Exponents for Mildly Restricted Approximation
Abstract. We are studying the Diophantine exponent μn,l defined for integers 1 ≤ l < n and a vector α ∈ R by letting μn,l = sup{μ ≥ 0 : 0 < ‖x · α‖ < H(x) for infinitely many x ∈ Cn,l ∩ Zn}, where · is the scalar product and ‖ · ‖ denotes the distance to the nearest integer and Cn,l is the generalised cone consisting of all vectors with the height attained among the first l coordinates. We show...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2009
ISSN: 0004-2080
DOI: 10.1007/s11512-008-0074-0