@**inproceedings**{RISC5489,author = {Johannes Middeke},

title = {{Denominator Bounds and Polynomial Solutions for Systems of q-Recurrences over K(t) for Constant K}},

booktitle = {{Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation}},

language = {english},

abstract = {We consider systems A_ell(t )y(q^ell t ) + . . . + A 0 (t )y(t ) = b (t ) of higher order q-recurrence equations with rational coefficients. We extend a method for finding a bound on the maximal power of t in the denominator of arbitrary rational solutions y(t ) as well as a method for bounding the degree of polynomial solutions from the scalar case to the systems case. The approach is direct and does not rely on uncoupling or reduction to a first order system. Unlike in the scalar case this usually requires an initial transformation of the system.},

pages = {325--332},

isbn_issn = {978-1-4503-5064-8},

year = {2017},

editor = {Michael Burr},

refereed = {yes},

length = {7},

conferencename = {International Symposium on Symbolic and Algebraic Computation}

}