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arXiv · 2006.03237

Th\'eorie analytique locale des \'equations aux $q$-diff\'erences de pentes arbitraires

Jacques Sauloy
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Abstract

The local analytic classification and the description of the Galois group for complex linear analytic q-difference equations have been obtained by Ramis, Sauloy and Zhang [15, 14] under the assumption that the slopes of the Newton polygon are integral. In this work, we relax that assumption.

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Jacques Sauloy. 2020-06-05. Th\'eorie analytique locale des \'equations aux $q$-diff\'erences de pentes arbitraires. https://arxiv.org/abs/2006.03237

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