Onp-adic power series
โ Scribed by Paul Monsky
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 596 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0025-5831
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๐ SIMILAR VOLUMES
We describe a presentation of the completion of the algebraic closure of the ring of Witt vectors of an algebraically closed field of characteristic p>0. The construction uses ``generalized power series in p'' as constructed by Poonen, based on an example of Lampert, and also makes use of an analogo
In this paper it is proved that the pair f =a 1 x k 1 + } } } +a n x k n , g=b 1 x k 1 + } } } + b n x k n , with k= p { ( p&1) k 0 and (k 0 , p)=1, has a common p-adic zero provided n 2k 2+w( p, {) , where w( p, {)=1ร(log p+(1ร{) log( p&1)). It is also proved that if n 2k 2 , then the pair f, g has