A Dynamical Analogue of a question of Fermat
M Sadek, T Yesin - arXiv preprint arXiv:2310.18054, 2023 - arxiv.org
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. We …
consecutive squares in the orbit of a rational point under the iteration of the polynomial. We …
Arithmetic progressions in polynomial orbits
M Sadek, M Wafik, T Yesin - arXiv preprint arXiv:2403.04397, 2024 - arxiv.org
Let $ f $ be a polynomial with integer coefficients whose degree is at least 2. We consider
the problem of covering the orbit $\operatorname {Orb} _f (t)=\{t, f (t), f (f (t)),\cdots\} $, where …
the problem of covering the orbit $\operatorname {Orb} _f (t)=\{t, f (t), f (f (t)),\cdots\} $, where …
[PDF][PDF] Bibliography for Arithmetic Dynamics
JH Silverman - 2022 - math.brown.edu
This document lists a wide variety of articles and books in the area of arithmetic dynamics,
together with some miscellaneous articles and books in arithmetic geoemtry. It also includes …
together with some miscellaneous articles and books in arithmetic geoemtry. It also includes …