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arXiv · 1404.3611

Approche galoisienne de la transcendance différentielle

Lucia Di Vizio
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Abstract

In this survey we present the parameterized Galois theory of difference equations, as introduced by Hardouin-Singer. The purpose of this theory is to give a systematic approach to differential transcendence, also called hypertranscendence. As an example of the applications, we explain the Galoisian proof of Hölder's theorem on the differential transcendence of the Gamma function.

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Lucia Di Vizio. 2014-04-14. Approche galoisienne de la transcendance différentielle. https://arxiv.org/abs/1404.3611

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