J. O. Shallit, Continued fractions with bounded partial quotients: a survey, Enseign. Math. 38 (1992), 151--187. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Linear Fractional Transformations of Continued Fractions.. - Lagarias, Shallit (1996) Self-citation (Shallit) (Correct)
....that has bounded partial quotients if K( is finite. We also set K1 ( lim sup i1 a i ; 1.2) where K1 ( 1 if is rational. Certainly K1 ( K( and K1 ( is finite if and only if K( is finite. A survey of results about real numbers with bounded partial quotients is given in [16]. The property of having bounded partial quotients is equivalent to being a badly approximable number, which is that lim inf q 1 qjjq jj 0 ; in which jjxjj = min(x Gamma bxc; dxe Gamma x) denotes the distance from x to the nearest integer. This note proves two quantitative versions of ....
J. O. Shallit, Continued fractions with bounded partial quotients: a survey, Enseign. Math. 38 (1992), 151--187.
Linear Fractional Transformations of Continued Fractions.. - Lagarias, Shallit Self-citation (Shallit) (Correct)
....partial quotients if K( is finite. We also set (1.2) K1 ( lim sup i1 a i ; with the convention that K1 ( 1 if is rational. Certainly K1 ( K( and K1 ( is finite if and only if K( is finite. A survey of results about real numbers with bounded partial quotients is given in [17]. The property of having bounded partial quotients is equivalent to being a badly approximable number, which is a number such that lim inf q 1 qjjq jj 0 ; in which jjxjj = min(x Gamma bxc; dxe Gamma x) denotes the distance from x to the nearest integer and q runs through integers. This ....
J. O. Shallit, Continued fractions with bounded partial quotients: a survey, Enseign. Math. 38 (1992), 151--187.
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