2012
DOI: 10.1007/s00209-012-0997-9
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Generalized Büchi’s problem for algebraic functions and meromorphic functions

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Cited by 6 publications
(7 citation statements)
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“…Note that if f (X) ∈ A[X] is a polynomial of degree d ≥ 1 with leading coefficient a, then f (X + 1) − f (X) is a polynomial of degree d − 1 with leading coefficient da. We also observe that applying ∆ (k) to a sequence is the same as applying ∆ (1) a total of k times. These two remarks give the result.…”
Section: Consequences In Logicmentioning
confidence: 81%
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“…Note that if f (X) ∈ A[X] is a polynomial of degree d ≥ 1 with leading coefficient a, then f (X + 1) − f (X) is a polynomial of degree d − 1 with leading coefficient da. We also observe that applying ∆ (k) to a sequence is the same as applying ∆ (1) a total of k times. These two remarks give the result.…”
Section: Consequences In Logicmentioning
confidence: 81%
“…It is not difficult to produce other exceptional cases for the higher exponents analogue of Büchi's problem in positive characteristic (see [1]). With this consideration in mind, it becomes clear that a satisfactory solution in this context should provide an explicit description of all exceptional cases, and this is the purpose of this section.…”
Section: Generalized Büchi's Problem In Positive Characteristicmentioning
confidence: 99%
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