Integral P-Recursive Sequences
Symbolic Computation
2020-02-10 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2002.02783,
title = {Integral P-Recursive Sequences},
author = {Shaoshi Chen and Lixin Du and Manuel Kauers and Thibaut Verron},
journal= {arXiv preprint arXiv:2002.02783},
year = {2020}
}
Comments
20 pages