Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring
نشر في Andrea Pulita
بتاريخ 2015
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English
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We provide a necessary and sufficient condition for the solvability of a rank one differential (resp. $q$-difference) equation over the Amices ring. We also extend to that ring a Birkoff decomposition result, originally due to Motzkin.