Approche galoisienne de la transcendance différentielle
arXiv:1404.3611
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.
20 pages, French
References in corpus (5)
- Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups
- Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations
- Dynamics of rational symplectic mappings and difference Galois theory
- The q-analogue of the wild fundamental group (II)
- Parameterized generic Galois groups for q-difference equations, followed by the appendix "The Galois D-groupoid of a q-difference system" by Anne Granier