On rational approximations to an irrational number
β Scribed by Ostrowski, A. M.
- Publisher
- Springer-Verlag
- Year
- 1977
- Weight
- 464 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0370-7377
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π SIMILAR VOLUMES
Let be a real irrational number, and a 2 0, b 2 0 , a > 1 be integers. A theorem of S. UCHIYAMA states that there are infinitely many pairs of integers u and v # 0 such that provided that it is not a z b z 0 mod s. It is shown that this result is best-possible for all integers s > 1. 1991 Mathemati
Let \(\xi\) be an irrational number with simple continued fraction expansion \(\xi=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}, \ldots\right]\). Let the \(i\) th convergent \(p_{i} / q_{i}=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}\right]\). Let \(\mu=\) \(\left|\left[0 ; a_{n+2}, a_{n+3}, \ldots\right