@article{GERDT2006211,
    Abstract = {In this paper, we present an algorithm for computing Gr{\"o}bner bases of linear ideals in a difference polynomial ring over a ground difference field. The input difference polynomials generating the ideal are also assumed to be linear. The algorithm is an adaptation to difference ideals of our polynomial algorithm based on Janet-like reductions.},
    Author = {Gerdt, Vladimir P.},
    File = {On computation of Groebner bases for linear difference systems - 0509050v1 - a - s.pdf},
    ISSN = {0168-9002},
    Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment},
    Keywords = {Difference algebra, Janet-like Grobner bases, Computer algebra, Difference schemes, Recurrence relations, Feynman integrals},
    Note = {Proceedings of the X International Workshop on Advanced Computing and Analysis Techniques in Physics Research},
    Number = {1},
    Pages = {211 - 214},
    Title = {On computation of Gr{\"o}bner bases for linear difference systems},
    URL = {http://www.sciencedirect.com/science/article/pii/S0168900205022722},
    Volume = {559},
    Year = {2006},
    bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0168900205022722},
    bdsk-url-2 = {https://doi.org/10.1016/j.nima.2005.11.141},
    date-added = {2020-04-13 20:25:38 +0200},
    date-modified = {2020-04-13 20:25:38 +0200},
    file-2 = {On computation of Groebner bases for linear difference systems - 0509050 - a - s.pdf},
    file-3 = {On Computation of Gröbner Bases for Linear Difference Systems - ACAT-05\_pres - a - s.pdf},
    file-4 = {On computation of Gro¨bner bases for linear difference systems - gerdt2006 - a - s.pdf},
    doi = {10.1016/j.nima.2005.11.141}
}

@article{GERDT2006211, Abstract = {In this paper, we present an algorithm for computing Gr{\"o}bner bases of linear ideals in a difference polynomial ring over a ground difference field. The input difference polynomials generating the ideal are also assumed to be linear. The algorithm is an adaptation to difference ideals of our polynomial algorithm based on Janet-like reductions.}, Author = {Gerdt, Vladimir P.}, File = {On computation of Groebner bases for linear difference systems - 0509050v1 - a - s.pdf}, ISSN = {0168-9002}, Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment}, Keywords = {Difference algebra, Janet-like Grobner bases, Computer algebra, Difference schemes, Recurrence relations, Feynman integrals}, Note = {Proceedings of the X International Workshop on Advanced Computing and Analysis Techniques in Physics Research}, Number = {1}, Pages = {211 - 214}, Title = {On computation of Gr{\"o}bner bases for linear difference systems}, URL = {http://www.sciencedirect.com/science/article/pii/S0168900205022722}, Volume = {559}, Year = {2006}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0168900205022722}, bdsk-url-2 = {https://doi.org/10.1016/j.nima.2005.11.141}, date-added = {2020-04-13 20:25:38 +0200}, date-modified = {2020-04-13 20:25:38 +0200}, file-2 = {On computation of Groebner bases for linear difference systems - 0509050 - a - s.pdf}, file-3 = {On Computation of Gröbner Bases for Linear Difference Systems - ACAT-05_pres - a - s.pdf}, file-4 = {On computation of Gro¨bner bases for linear difference systems - gerdt2006 - a - s.pdf}, doi = {10.1016/j.nima.2005.11.141} }