OnP-adic differential equations
โ Scribed by B. M. Dwork
- Publisher
- Springer-Verlag
- Year
- 1973
- Tongue
- English
- Weight
- 420 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Dekker, New York), we showed that if a function f (x) meromorphic in all C p is a solution of a homogeneous linear differential equation (E) with coefficients in Q (x), then f # C p (x). Here we show that this conclusion is false in the case where (E) is with coefficients not in Q (x). ## 2001 Acad
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