Solvability of rank one p-adic differential and q-difference equations over the Amice ring
classification
🧮 math.NT
keywords
ringamicedifferencedifferentialranksolvabilityadicbirkoff
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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 Amice's ring. We also extend to that ring a Birkoff decomposition result, originally due to Motzkin.
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