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  • @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}
    }