author = {Manuel Kauers and Carsten Schneider},
title = {{Partial Denominator Bounds for Partial Linear Difference Equations}},
booktitle = {{Proceedings of ISSAC'10}},
language = {english},
abstract = { We investigate which polynomials can possibly occur as factors in the denominators of rational solutions of a given partial linear difference equation (PLDE). Two kinds of polynomials are to be distinguished, we call them /periodic/ and /aperiodic/. The main result is a generalization of a well-known denominator bounding technique for univariate equations to PLDEs. This generalization is able to find all the aperiodic factors of the denominators for a given PLDE.},
pages = {211--218},
isbn_issn = {978-1-4503-0150-3},
year = {2010},
note = {arXiv:1005.0602 [cs.SC]},
editor = {Stephen Watt},
refereed = {yes},
length = {8},
url = {https://www.doi.org/10.1145/1837934.1837976}