M. Ayad

activity

20122023

most citedOn Permutation Binomials over Finite Fields

9 citations · 9 across the 3 of their papers we have counts for

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math.NT2023

When is the ring of integers of a number field coverable?

Mohamed Ayad, Omar Kihel

A commutative ring R is said to be coverable if it is the union of its proper subrings and said to be finitely coverable if it is the union of a finite number of them. In the latte…

math.NT2021

The paradox of the infinity

Mohamed Ayad, Omar Kihel

\textit{Let $E$ be an infinite set on which a property $(P)$ is defined. Suppose that $E = \cup_{i \in I} E_{i}$ is a partition, where each $E_{i}$ is infinite. Suppose also that, in…

math.NT2012★ 9 cited

On Permutation Binomials over Finite Fields

Mohamed Ayad, Belghaba Kacem, Omar Kihel

Let $F_{q}$ be the finite field of characteristic $p$ containing $q = p^{r}$ elements and $f (x) = a x^{n} + x^{m}$ a binomial with coefficients in this field. If some conditi…