Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence

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Hardouin, Charlotte; Minchenko, Andrei; Ovchinnikov, Alexey;
  • Publisher: Springer Verlag
  • Identifiers: doi: 10.1007/s00208-016-1442-x
  • Subject: 12H05, 12H20, 13N10, 20G05, 20H20, 34M15, 33C99 | [MATH]Mathematics [math] | Mathematics - Classical Analysis and ODEs | Mathematics - Commutative Algebra | Mathematics - Representation Theory

The main motivation of our work is to create an efficient algorithm that decides hypertranscendence of solutions of linear differential equations, via the parameterized differential and Galois theories. To achieve this, we expand the representation theory of linear diff... View more
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