p-adic Periodic Points and Sen's Theorem
β Scribed by Hua-Chieh Li
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 394 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
To count the number of periodic points of u(x) brings in very delicate questions about automorphisms of local fields. Using the ideas developed here, we shall give another short proof of Sen's Theorem. We also give an upper bound for the number of periodic points in any p-adic number field.
π SIMILAR VOLUMES
We give a new proof of the suhanalyticity of the regular locus of a p-adic suhanalytic set, replacing use of an approximation theorem by a more natural argument based on the flatness of certain homomorphisms given by Taylor expansions of strictly convergent power series at a non-standard point of ZT