Abstract
We revisit the classical subject of equidistribution of the roots of Littlewood-type polynomials. More precisely, we show that the roots of the family of polynomials Ψk(z) = zk−zk−1−⋯−1, k ⩾ 1, are uniformly distributed around the unit circle in the strong quantitative form, confirming a conjecture from [C.-A. Gómez and F. Luca, Commentat. Math. Univ. Carol., On the distribution of roots of zk − zk−1 −⋯−z − 1, 62(3):291–296, 2021].
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Alahmadi, A., Klurman, O., Luca, F. et al. On the arguments of the roots of the generalized Fibonacci polynomial. Lith Math J 63, 249–253 (2023). https://doi.org/10.1007/s10986-023-09604-0
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DOI: https://doi.org/10.1007/s10986-023-09604-0