Integral bases for p-recursive sequences

Shaoshi Chen, Lixin Du, Manuel Kauers, Thibaut Verron
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引用次数: 1

Abstract

In an earlier paper, the notion of integrality known for 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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p-递归序列的积分基
在较早的一篇论文中,已将代数数域和代数函数域的完整性概念推广到d有限函数。本文的目的是将这一概念推广到p -递归序列的情况。为了做到这一点,我们提出了一个求值向量空间的所有积分元素的一般算法,然后证明该算法不仅包括代数和d -有限情况,而且涵盖了p -递归序列的情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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