Abstract
We construct an infinite-dimensional Hankel matrix H∞ with elements of the form m/2l, where m, l ∈ ℤ, with the following property: the divisors of the numerators of its principal minors contain all prime numbers.
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V. P. Platonov, Russ. Math. Surv. 69 (1), 1–34 (2014).
V. P. Platonov, Russ. Math. Surv. 72 (5), 963–964 (2017).
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Original Russian Text © V.P. Platonov, M.M. Petrunin, 2018, published in Doklady Akademii Nauk, 2018, Vol. 481, No. 5.
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Platonov, V.P., Petrunin, M.M. On New Arithmetic Properties of Determinants of Hankel Matrices. Dokl. Math. 98, 370–372 (2018). https://doi.org/10.1134/S1064562418050216
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DOI: https://doi.org/10.1134/S1064562418050216