Rational approximations to irrationals
نویسندگان
چکیده
منابع مشابه
Effective Results for Restricted Rational Approximation to Quadratic Irrationals
In this paper, we deduce a number of effective lower bounds upon the distance to an integer of quantities of the shape bnξ, where b and n are integers and ξ is a real quadratic irrational. For certain ξ, we obtain inequalities that approach in strength the corresponding ineffective results arising from the p-adic version of Roth’s theorem.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1941
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1941-07517-8