In his book " Transcendent al and algebraic numbers" , [1] pp. 182-1 33, A. O. GJ~LFOND gives some results concerning the algebraic independence of numbers which can be considered as extensions of the fam ous t heore ms of Gelfond-Schne ider and Lindemann. More recently A. A. SHMELEV pu blished a va
Algebraic independence of certain numbers in the p-adic domain
โ Scribed by T.N Shorey
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 592 KB
- Volume
- 75
- Category
- Article
- ISSN
- 1385-7258
No coin nor oath required. For personal study only.
๐ 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 โ 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
Let Kรk 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