Some counting questions for matrix products

DOI10.1017/s0004972723001004MaRDI QIDQ6666488

Muhammad Afifurrahman

Publication date: 20 January 2025

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

matrix productmatrix equationinteger matrixmatrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Expanding phenomena over higher dimensional matrix rings
• Some counting questions for matrices with restricted entries
• Singular matrices and a uniform bound for congruence groups of \(SL_ n(\mathbb{Z})\)
• Density of integer points on affine homogeneous varieties
• Some additive combinatorics problems in matrix rings
• A point-plane incidence theorem in matrix rings
• Expanding phenomena over matrix rings
• Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
• The distribution of integers with a divisor in a given interval
• Growth in \(\mathrm{SL}_3(\mathbb Z/p\mathbb Z)\).
• Distribution of matrices with restricted entries over finite fields
• Some sum-product estimates in matrix rings over finite fields
• Localized factorizations of integers
• Integral Matrices of Fixed Rank
• Matrices over a Finite Field

This page was built for publication: Some counting questions for matrix products