We study formal Laurent series which are better approximated by their Oppenheim convergents. We calculate the Hausdorff dimensions of sets of Laurent series which have given polynomial or exponential approximation orders. Such approximations are faster than the approximation of typical Laurent serie
✦ LIBER ✦
Rational approximants to symmetric formal Laurent series
✍ Scribed by M. Camacho; P. González-Vera
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Weight
- 290 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Approximation orders of formal Laurent s
✍
Ai-Hua Fan; Jun Wu
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 204 KB
On Metric Diophantine Approximation in t
✍
Michael Fuchs
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 195 KB
B. deMathan (1970, Bull. Soc. Math. France Supl. Mem. 21) proved that Khintchine's Theorem has an analogue in the field of formal Laurent series. First, we show that in case of only one inequality this result can also be obtained by continued fraction theory. Then, we are interested in the number o
Adapting rational approximants for Fouri
✍
R. J. Charron
📂
Article
📅
1988
🏛
Springer Vienna
🌐
English
⚖ 520 KB
Rational approximation to Neumann series
✍
N. Hayek; P. González-Vera; F. Pérez-Acosta
📂
Article
📅
1992
🏛
Springer US
🌐
English
⚖ 327 KB
A class of algorithms for obtaining rati
✍
J. A. Murphy; M. R. O'Donohoe
📂
Article
📅
1977
🏛
Springer
🌐
English
⚖ 407 KB