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Approche galoisienne de la transcendance différentielle (1404.3611v1)
Published 14 Apr 2014 in math.CA and math.RA
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 H\"older's theorem on the differential transcendence of the Gamma function.