2 papers
math.CO2026
On the number of directions formed by Cartesian products in
Ali Mohammadi
We prove a lower bound on the number of directions determined by Cartesian products in the affine plane over the finite field . Our lower bound holds f…
math.NT2023
On some matrix counting problems
Ali Mohammadi, Alina Ostafe, Igor Shparlinski
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…