论文标题

定理的密度定理是常规奇异的Mahler方程的差异galois组

A density theorem for the difference Galois groups of regular singular Mahler equations

论文作者

Poulet, Marina

论文摘要

Mahler方程的Galois理论差异是一个活跃的研究领域。本文旨在发展该理论的分析方面。我们首先将一对连接矩阵连接到任何常规的单数Mahler方程。然后,我们证明这些连接矩阵可用于生成任何常规单数mahler方程的差异galois组的Zariski密集亚组。

The difference Galois theory of Mahler equations is an active research area. The present paper aims at developing the analytic aspects of this theory. We first attach a pair of connection matrices to any regular singular Mahler equation. We then show that these connection matrices can be used to produce a Zariski-dense subgroup of the difference Galois group of any regular singular Mahler equation.

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