2010/05/21 by G. Maze, G. Mazé, J. Rosenthal +6
Computer Science · Engineering · Mathematics · Physics and Astronomy · #11C20 (Secondary) #15B36 (Primary) #Advanced Mathematical Theories and Applications #FOS: Mathematics #Graph Labeling and Dimension Problems #Number Theory (math.NT) #Rings and Algebras (math.RA) #graph theory and CDMA systems #math.NT #math.RA #msc:11C20 #msc:15B36
paper · pdf · doi:10.48550/arxiv.1005.3967
8 pages
openalex publication_date 2010/05/21 · arxiv created 2010/11/22 · arxiv updated 2010/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we compute the natural density of the set of k x n integer matrices that can be extended to an invertible n x n matrix over the integers. As a corollary, we find the density of rectangular matrices with Hermite normal form [O Id]. Connections with Cesaro's Theorem on the density of coprime integers and Quillen-Suslin's Theorem are also presented.