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arXiv · 2002.02783

Integral P-Recursive Sequences

Shaoshi Chen·Lixin Du·Manuel Kauers·Thibaut Verron
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Abstract

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.

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Shaoshi Chen, Lixin Du, Manuel Kauers, Thibaut Verron. 2020-02-07. Integral P-Recursive Sequences. https://arxiv.org/abs/2002.02783

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