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: Journal of the Australian Mathematical Society
سال: 1977
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700020802