On Infinite-Dimensional Integer Hankel Matrices

V. P. Platonov; M. M. Petrunin

doi:10.1134/S1064562419020352

On Infinite-Dimensional Integer Hankel Matrices

Authors: Platonov V.P.¹^,2, Petrunin M.M.¹
Affiliations:
1. Scientific Research Institute for System Analysis, Russian Academy of Sciences
2. Steklov Mathematical Institute, Russian Academy of Sciences
Issue: Vol 99, No 2 (2019)
Pages: 218-220
Section: Mathematics
URL: https://journals.rcsi.science/1064-5624/article/view/225662
DOI: https://doi.org/10.1134/S1064562419020352
ID: 225662

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Abstract
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Abstract

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.

About the authors

V. P. Platonov

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

Author for correspondence.
Email: platonov@niisi.ras.ru
Russian Federation, Moscow, 117218; Moscow, 119991

M. M. Petrunin

Scientific Research Institute for System Analysis,
Russian Academy of Sciences

Author for correspondence.
Email: petrunin@niisi.ras.ru
Russian Federation, Moscow, 117218

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