Mohamed Wafik

collaborators

2 papers

math.NT2024

Arithmetic progressions in polynomial orbits

Mohammad Sadek, Mohamed Wafik, Tuğba Yesin

Let $f$ be a polynomial with integer coefficients whose degree is at least 2. We consider the problem of covering the orbit $Orb_{f} (t) = {t, f (t), f (f (t)), \dots}$ , whe…

math.NT2022

Construction of Polynomials with prescribed divisibility conditions on the critical orbit

Mohammad Sadek, Mohamed Wafik

We consider the family of polynomials $f_{d, c} (x) = x^{d} + c$ over the rational field $\Q$. Fixing integers $d, n \geq 2$ , we show that the density of primes that can appear as primitive…