Work

On some matrix counting problems

Year: 2024

Type: article

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).

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70044

Authors: Ali Mohammadi, Alina Ostafe, Igor E. Shparlinski

Institution: UNSW Sydney

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: Australian Research Council