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On New Arithmetic Properties of Determinants of Hankel Matrices


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Resumo

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.

Sobre autores

V. Platonov

Scientific Research Institute for System Analysis; Steklov Mathematical Institute

Autor responsável pela correspondência
Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218; Moscow, 119991

M. Petrunin

Scientific Research Institute for System Analysis

Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218

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