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- W3090792408 abstract "The degree sequence of the algebraic numbers in an algebraic linear recurrence sequence is shown to be virtually periodic. This is proved using the Skolem-Mahler-Lech theorem. It has applications to the degree sequence and the minimal polynomial sequence for exponential sums over finite fields. The degree periodicity also holds for some more complicated non-linear recurrence sequences. We give one example from the iterations of a polynomial map. This depending on the dynamic Mordell-Lang conjecture which has been proved in some cases." @default.
- W3090792408 created "2020-10-08" @default.
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- W3090792408 date "2020-09-29" @default.
- W3090792408 modified "2023-10-17" @default.
- W3090792408 title "Algebraic Degree Periodicity in Recurrence Sequences" @default.
- W3090792408 cites W1972701135 @default.
- W3090792408 cites W2047650512 @default.
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- W3090792408 doi "https://doi.org/10.48550/arxiv.2009.14382" @default.
- W3090792408 hasPublicationYear "2020" @default.
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