Natural density of integral matrices that can be extended to invertible integral matrices

DOI10.1080/03081087.2015.1127316zbMath1369.15018OpenAlexW2229257600MaRDI QIDQ5741252

Fengdan Hou, Xiangqian Guo, Xue-wen Liu

Publication date: 22 July 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1127316

zbMATH Keywords

invertible matricesGaussian coefficientsnatural density

Mathematics Subject Classification ID

Matrices of integers (15B36) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Matrices, determinants in number theory (11C20)

Related Items (1)

Counting basis extensions in a lattice

Cites Work

• Natural density of rectangular unimodular integer matrices
• Completion of a partial integral matrix to a unimodular matrix
• On the probability that \(k\) positive integers are relatively prime. II
• On the probability that \(k\) positive integers are relatively prime
• On random ±1 matrices: Singularity and determinant
• On the singularity probability of random Bernoulli matrices
• PROBABILISTIC PROOF OF LIMIT THEOREMS IN NUMBER THEORY BY MEANS OF ADELES
• Unnamed Item

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