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On New Arithmetic Properties of Determinants of Hankel Matrices

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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… Click to show full 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.

Keywords: arithmetic properties; new arithmetic; properties determinants; hankel matrices; determinants hankel

Journal Title: Doklady Mathematics
Year Published: 2018

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