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OnP-adic differential equations

โœ Scribed by B. M. Dwork


Publisher
Springer-Verlag
Year
1973
Tongue
English
Weight
420 KB
Volume
20
Category
Article
ISSN
0020-9910

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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