5 citations · 16 across the 33 of their papers we have counts for
5 papers · 1 filter
Eventual Stability of pure polynomials over the rational field
Mohamed O Darwish, Mohammad Sadek
A polynomial with rational coefficients is said to be pure with respect to a rational prime if its Newton polygon has one slope. In this article, we prove that the number of ir…
Construction of Polynomials with prescribed divisibility conditions on the critical orbit
Mohammad Sadek, Mohamed Wafik
We consider the family of polynomials over the rational field $\Q$. Fixing integers , we show that the density of primes that can appear as primitive…
Rational points on quadratic elliptic surfaces
Mohammad Sadek
We consider elliptic surfaces whose coefficients are degree polynomials in a variable . It was recently shown that for infinitely many rational values of the resulting e…
Simultaneous Rational Periodic Points of Degree-2 Rational Maps
Burcu Barsakçı, Mohammad Sadek
Let be the collection of quadratic polynomial maps, and degree -rational maps whose automorphism groups are isomorphic to defined over the rational field. Assuming sta…
Divisibility by 2 on quartic models of elliptic curves and rational Diophantine -quintuples
Mohammad Sadek, Tuğba Yesin
Let be a smooth genus one curve described by a quartic polynomial equation over the rational field with . We give an explicit criterion for the d…