On sets of exact Diophantine approximation over the field of formal series
β Scribed by Zhen-Liang Zhang
- Book ID
- 113721497
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 179 KB
- Volume
- 386
- Category
- Article
- ISSN
- 0022-247X
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 consider the problem how big is the set of solutions of a given functional equation in the set of approximate solutions. It happens that in the cases of linear functional equations (like Cauchy, Jensen) or linear inequalities (like convex, Jensen convex) the sets of solutions are very small subse