The paper studies the degree of approximation of functions associated with Hardy᎐Littlewood series in the Holder metric.
On Metric Diophantine Approximation in the Field of Formal Laurent Series
✍ Scribed by Michael Fuchs
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 195 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
✦ Synopsis
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 of solutions and show under special assumptions that one gets a central limit theorem, a law of iterated logarithm and an asymptotic formula. This is an analogue of a result due to W.
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