On formal Laurent series
β Scribed by Xiao-Xiong Gan; Dariusz Bugajewski
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 211 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1678-7714
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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
Niederhausen, H., Factorials and Stirling numbers in the algebra of formal Laurent series, Discrete Mathematics 90 (1991) 53-62. In the algebra of formal Laurent series, the falling factoral powers x(") are generalized to {x}'") for all integers n. The Stirling coefficients map the standard basis o