@

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}