On Infinite-Dimensional Integer Hankel Matrices


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详细

We construct a parametric family of infinite-dimensional integer Hankel matrices, each having the following property: its principal submatrices are nonsingular, and the set of prime divisors of the determinants of the principal submatrices coincides with the set of all primes.

作者简介

V. Platonov

Scientific Research Institute for System Analysis,
Russian Academy of Sciences; Steklov Mathematical Institute, Russian Academy
of Sciences

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Email: platonov@niisi.ras.ru
俄罗斯联邦, Moscow, 117218; Moscow, 119991

M. Petrunin

Scientific Research Institute for System Analysis,
Russian Academy of Sciences

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Email: petrunin@niisi.ras.ru
俄罗斯联邦, Moscow, 117218

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