@article{SHA2019228,
    Abstract = {In this paper, given a simple linear recurrence sequence of algebraic numbers, which has either a dominant characteristic root or exactly two characteristic roots of maximal modulus, we give some explicit lower bounds for the index beyond which every term of the sequence is non-zero. It turns out that this case covers almost all such sequences whose coefficients are rational numbers.},
    Author = {Sha, Min},
    File = {Effective results on the Skolem Problem for linear recurrence sequences - j.jnt.2018.08.012 - a - u.pdf},
    ISSN = {0022-314X},
    Journal = {Journal of Number Theory},
    Keywords = {Linear recurrence sequence, The Skolem Problem, Height, Linear form in logarithms},
    Pages = {228 - 249},
    Title = {Effective results on the Skolem Problem for linear recurrence sequences},
    URL = {http://www.sciencedirect.com/science/article/pii/S0022314X18302476},
    Volume = {197},
    Year = {2019},
    bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0022314X18302476},
    bdsk-url-2 = {https://doi.org/10.1016/j.jnt.2018.08.012},
    date-added = {2020-12-29 12:03:21 +0100},
    date-modified = {2020-12-29 12:03:21 +0100},
    doi = {10.1016/j.jnt.2018.08.012}
}

@article{SHA2019228, Abstract = {In this paper, given a simple linear recurrence sequence of algebraic numbers, which has either a dominant characteristic root or exactly two characteristic roots of maximal modulus, we give some explicit lower bounds for the index beyond which every term of the sequence is non-zero. It turns out that this case covers almost all such sequences whose coefficients are rational numbers.}, Author = {Sha, Min}, File = {Effective results on the Skolem Problem for linear recurrence sequences - j.jnt.2018.08.012 - a - u.pdf}, ISSN = {0022-314X}, Journal = {Journal of Number Theory}, Keywords = {Linear recurrence sequence, The Skolem Problem, Height, Linear form in logarithms}, Pages = {228 - 249}, Title = {Effective results on the Skolem Problem for linear recurrence sequences}, URL = {http://www.sciencedirect.com/science/article/pii/S0022314X18302476}, Volume = {197}, Year = {2019}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0022314X18302476}, bdsk-url-2 = {https://doi.org/10.1016/j.jnt.2018.08.012}, date-added = {2020-12-29 12:03:21 +0100}, date-modified = {2020-12-29 12:03:21 +0100}, doi = {10.1016/j.jnt.2018.08.012} }

Library Size: 13G (12942 entries), Last Updated: Apr 05, 2026, 08:41:35, Build Time: N/A badge