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  • @techreport{RISC4849,
    author = {Manuel Kauers and Lily Yen},
    title = {{On the length of integers in telescopers for proper hypergeometric terms}},
    language = {english},
    abstract = {We show that the number of digits in the integers of a creative telescoping relation of expected minimal order for a bivariate proper hypergeometric term has essentially cubic growth with the problem size. For telescopers of higher order but lower degree we obtain a quintic bound. Experiments suggest that these bounds are tight. As applications of our results, we give an improved bound on the maximal possible integer root of the leading coefficient of a telescoper, and the first discussion of the bit complexity of creative telescoping.},
    number = {1311.3720},
    year = {2013},
    institution = {ArXiv},
    length = {20}