Email this article On New Arithmetic Properties of Determinants of Hankel Matrices
- Authors: Platonov V.P.1,2, Petrunin M.M.1
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Affiliations:
- Scientific Research Institute for System Analysis
- Steklov Mathematical Institute
- Issue: Vol 98, No 1 (2018)
- Pages: 370-372
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225537
- DOI: https://doi.org/10.1134/S1064562418050216
- ID: 225537
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Abstract
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.
About the authors
V. P. Platonov
Scientific Research Institute for System Analysis; Steklov Mathematical Institute
Author for correspondence.
Email: platonov@niisi.ras.ru
Russian Federation, Moscow, 117218; Moscow, 119991
M. M. Petrunin
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
Russian Federation, Moscow, 117218
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