2 papers
math.NT2024
Arithmetic progressions in polynomial orbits
Mohammad Sadek, Mohamed Wafik, Tuğba Yesin
Let be a polynomial with integer coefficients whose degree is at least 2. We consider the problem of covering the orbit , whe…
math.NT2023
A Dynamical Analogue of a Question of Fermat
Mohammad Sadek, Tuğba Yesin
Given a quadratic polynomial with rational coefficients, we investigate the existence of consecutive squares in the orbit of a rational point under the iteration of the polynomial.…