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arXiv · 1505.00926

Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring

Andrea Pulita
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Abstract

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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Andrea Pulita. 2015-05-05. Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring. https://arxiv.org/abs/1505.00926

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