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Paper detail

Integral P-Recursive Sequences

In an earlier paper, the notion of integrality known from algebraic number fields and fields of algebraic functions has been extended to D-finite functions. The aim of the present paper is to extend the notion to the case of P-recursive sequences. In order to do so, we formulate a general algorithm for finding all integral elements for valued vector spaces and then show that this algorithm includes not only the algebraic and the D-finite cases but also covers the case of P-recursive sequences.

preprint2020arXivOpen access
Shaoshi ChenLixin DuManuel KauersThibaut Verron
Symbolic Computationmath.NT
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Shaoshi ChenLixin DuManuel KauersThibaut Verron

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