Ali Mohammadi

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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…