On New Arithmetic Properties of Determinants of Hankel Matrices |
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Authors: | V. P. Platonov M. M. Petrunin |
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Affiliation: | 1.Scientific Research Institute for System Analysis,Russian Academy of Sciences,Moscow,Russia;2.Steklov Mathematical Institute,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | ![]() We construct an infinite-dimensional Hankel matrix H∞ with elements of the form m/2l, where m, l ∈ ?, with the following property: the divisors of the numerators of its principal minors contain all prime numbers. |
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