Infinite series expansions forp-adic numbers
β Scribed by Arnold Knopfmacher; John Knopfmacher
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 568 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
## Abstract We consider elements __x__ + __y__$ \sqrt {-m} $ in the imaginary quadratic number field β($ \sqrt {-m} $) such that the norm __x__^2^ + __my__^2^ = 1 and both __x__ and __y__ have a finite __b__βadic expansion for an arbitrary but fixed integer base __b__. For __m__ = 2, 3, 7 and 11 a
The 1-chromatic number / 1 (S) of a surface S is the maximum chromatic number of all graphs which can be drawn on the surface so that each edge is crossed by no more than one other edge. It is proved that if 4n+3 is a prime number, n 0, then / 1 (N 8(2n+1) 2) =R(N 8(2n+1) 2) where R(S)=w 1 2 (9+-81&
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