On some matrix counting problems
Number Theory
2023-10-20 v2
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).
Keywords
Cite
@article{arxiv.2310.05038,
title = {On some matrix counting problems},
author = {Ali Mohammadi and Alina Ostafe and Igor Shparlinski},
journal= {arXiv preprint arXiv:2310.05038},
year = {2023}
}