𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On rational approximations to an irrational number

✍ Scribed by Ostrowski, A. M.


Publisher
Springer-Verlag
Year
1977
Weight
464 KB
Volume
47
Category
Article
ISSN
0370-7377

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Approximation of Irrationals by R
✍ Carstenelsner πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 421 KB

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

The Best Approximation Function to Irrat
✍ J.C. Tong πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 194 KB

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