Generalised Power Series Determined by Linear Recurrence Relations

Generalised Power Series Determined by Linear Recurrence Relations

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Rational functions

4 of 18

4 of 18

Rational functions

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Classroom Contents

Generalised Power Series Determined by Linear Recurrence Relations

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  1. 1 Intro
  2. 2 Notations
  3. 3 Canonical lifting property
  4. 4 Rational functions
  5. 5 Linear recurrence relations
  6. 6 Linear recurrence sequences
  7. 7 Determined sets
  8. 8 Main Lemma
  9. 9 Determined fields
  10. 10 Definition
  11. 11 Determined Hahn fields
  12. 12 Example: non-determined Hahn field
  13. 13 Hahn and Rayner fields
  14. 14 Determined Rayner fields
  15. 15 Task
  16. 16 Rayner fields without the CLP
  17. 17 Hahn fields with the CLP determined by F-sequence
  18. 18 References

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