Mérai, László and Shparlinski, Igor E. (2025) Number of characteristic polynomials of matrices with bounded height. Linear Algebra and its Applications, 712. pp. 1-8. ISSN 00243795
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Official URL: http://doi.org/10.1016/j.laa.2025.02.012
Abstract
We consider the set Mn(Z;H) of nxn-matrices with integer elements of size at most H and obtain upper and lower bounds on the number of distinct irreducible characteristic polynomials which correspond to these matrices and thus on the number of distinct eigenvalues of these matrices. In particular, we improve some results of A. Abrams, Z. Landau, J. Pommersheim and N. Srivastava (2022).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Matrices, multiplicative dependence, matrix equation, abelianisation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Dr. László Mérai |
| Date Deposited: | 25 Sep 2025 13:12 |
| Last Modified: | 25 Sep 2025 13:12 |
| URI: | https://real.mtak.hu/id/eprint/225375 |
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