Optimal continued fractions
نویسندگان
چکیده
منابع مشابه
Metrical Theory for Optimal Continued Fractions
where Ed= fl, bkEZ2,, k 2 1, and with some constraints on bk and sk. Usually we will assume that x is irrational, and thus that the expansion (1.1) is infinite. A special case of an SRCF is the regular continuedfraction, RCF, which is obtained by taking ck = 1 for every k in (1.1). The aim in introducing the OCF was to optimize two things simultaneously. In the first place one wishes the conver...
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An old problem adressed by Khintchin [15] deals with the behaviour of the continued fraction expansion of algebraic real numbers of degree at least three. In particular, it is asked whether such numbers have or not arbitrarily large partial quotients in their continued fraction expansion. Although almost nothing has been proved yet in this direction, some more general speculations are due to La...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1987
ISSN: 1385-7258
DOI: 10.1016/1385-7258(87)90001-1