Removal of potential theoretic exceptional set on the field of p-adic numbers
β Scribed by Hiroshi Kaneko
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 172 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0021-7824
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π SIMILAR VOLUMES
In the present article we shall define the notion of the wavelet transform on Q p and we shall show that, for any given admissible function h β L 2 (Q p ), satisfying (15), which is a step function, the wavelet transform of a step function f be a function of norms, and moreover be expressible to a s
We found the asymptotics, p Γ , for the number of cycles for iteration of monomial functions in the fields of p-adic numbers. This asymptotics is closely connected with classical results on the distribution of prime numbers.
Let KΓk be an extension of degree p 2 over a p-adic number field k with the Galois group G. We study the Galois module structure of the ring O K of integers in K. We determine conditions under which the invariant factors of Kummer orders O K t in O K of two extensions coincide with each other and gi