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On the factorisation of linear ordinary differential operators

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  • Bronstein, Manuel

Abstract

After reviewing the arithmetic of linear ordinary differential operators, we describe the current status of the factorisation algorithm, specially with respect to factoring over non-algebraically closed constant fields. We also describe recent results from Singer and Ulmer (1993) that reduce determining the differential Galois group of an operator to factoring.

Suggested Citation

  • Bronstein, Manuel, 1996. "On the factorisation of linear ordinary differential operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 387-389.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:4:p:387-389
    DOI: 10.1016/S0378-4754(96)00013-4
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