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 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 1064-5624 1531-8362 |
| DOI: | 10.1134/S1064562419020352 |