On Infinite-Dimensional Integer Hankel Matrices

On Infinite-Dimensional Integer Hankel Matrices

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.

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Veröffentlicht in:Doklady. Mathematics 2019-03, Vol.99 (2), p.218-220
Hauptverfasser: Platonov, V. P., Petrunin, M. M.
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Sprache:eng
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Hankel matrices
Mathematics
Mathematics and Statistics
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container_title Doklady. Mathematics
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creator Platonov, V. P.
Petrunin, M. M.
description 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.
doi_str_mv 10.1134/S1064562419020352
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Mathematics
Mathematics and Statistics
title On Infinite-Dimensional Integer Hankel Matrices
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