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- W4230701544 abstract "Let ${({q_n})_n}$ be the sequence of best approximation denominators of an irrational number $alpha$. The set of real numbers $x$ for which ${q_n}x to 0$ $(bmod 1)$ is studied. It is shown that a number $x$ belongs to $alpha mathbb {Z}(bmod {text {1)}}$ if and only if a simple condition on the speed of the convergence related to an arithmetic property of $alpha$ is satisfied. This set is uncountable whenever $alpha$ has unbounded partial quotients." @default.
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- W4230701544 date "1991-06-01" @default.
- W4230701544 modified "2023-09-25" @default.
- W4230701544 title "Good Approximations and Continued Fractions" @default.
- W4230701544 doi "https://doi.org/10.2307/2048720" @default.
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