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Théorie analytique locale des équations aux q-différences de pentes arbitraires

2020/06/05 by Jacques Sauloy, Sauloy, Jacques
Computer Science · Mathematics · Physics and Astronomy · #18M25 #34M50 #39A13 #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2006.03237

openalex publication_date 2020/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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