On some matrix counting problems
Abstract We estimate the frequency of singular matrices and of matrices of a given rank whose entries are parametrised by arbitrary polynomials over the integers and modulo a prime . In particular, in the integer case, we improve a recent bound of V. Blomer and J. Li (2022).
Authors
- Alina Ostafe (ORCID: https://orcid.org/0000-0001-7398-0589)
- Ali Mohammadi (ORCID: https://orcid.org/0000-0001-5597-0408)
- Igor E. Shparlinski (ORCID: https://orcid.org/0000-0002-5246-9391)
Institutions
- UNSW Sydney (AU)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1112/jlms.70044
- Citations
- 4
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 1.39
Funders
- Australian Research Council