Muhammad Afifurrahman

collaborators

2 papers

math.NT2026

Statistics of ranks, determinants and characteristic polynomials of rational matrices

Muhammad Afifurrahman, Vivian Kuperberg, Alina Ostafe +1

We consider the set of $n \times n$ matrices with rational entries having numerator and denominator of size at most $H$ and obtain upper and lower bounds on the number of such matri…

math.NT2025

A uniform formula on the number of integer matrices with given determinant and height

Muhammad Afifurrahman

We obtain an asymptotic formula for the number of integer $2 \times 2$ matrices that have determinant $I^$ and whose absolute values of the entries are at most $H$ . The result holds…