Ali Mohammadi

collaborators

3 papers

math.CO2026

On the number of directions formed by Cartesian products in $F_{p^{2}}^{2}$

Ali Mohammadi

We prove a lower bound on the number of directions determined by Cartesian products $A \times A$ in the affine plane over the finite field $F_{p^{2}}$ . 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 $p$ . In…

math.NT2023

Additive energy of polynomial images

B. Kerr, A. Mohammadi, I. E. Shparlinski

Given a monic polynomial $f (X) \in Z_{m} [X]$ over a residue ring $Z_{m}$ modulo an integer $m \geq 2$ and a discrete interval $I = {1, \dots, H}$ of $H \le…

On the number of directions formed by Cartesian products in Fp22​

On some matrix counting problems

Additive energy of polynomial images

On the number of directions formed by Cartesian products in $F_{p^{2}}^{2}$