M. Sadek

activity

20102023

most citedMinimal Genus One Curves

5 citations · 16 across the 33 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018

Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves

Mohammad Sadek, Nermine El-Sissi, Arman Shamsi Zargar +1

A Huff curve over a field $K$ is an elliptic curve defined by the equation $a x (y^{2} - 1) = b y (x^{2} - 1)$ where $a, b \in K$ are such that $a^{2} \neq = b^{2}$ . In a similar fashion, a general Huff c…

math.NT2018

On rational periodic points of $x^{d} + c$

Mohammad Sadek

We consider the polynomials $f (x) = x^{d} + c$ , where $d \geq 2$ and $c \in Q$ . It is conjectured that if $d = 2$ , then $f$ has no rational periodic point of exact period…

math.NT2018

Sequences of consecutive squares on quartic elliptic curves

Mohammad Sadek, Mohamed Kamel

Let $C : y^{2} = a x^{4} + b x^{2} + c$ , be an elliptic curve defined over $Q$ . A set of rational points $(x_{i}, y_{i}) \in C (Q)$ , $i = 1, 2, \dots,$ is said to be a sequence of consecut…

Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves

On rational periodic points of xd+c

Sequences of consecutive squares on quartic elliptic curves

On rational periodic points of $x^{d} + c$