Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Sadek, Mohammad"'
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 $t$ is an integer, using arithmetic progressions each of which cont
Externí odkaz:
http://arxiv.org/abs/2403.04397
Autor:
Sadek, Mohammad, Yesin, Tuğba
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 display three different constructions of $1$-parameter quadratic p
Externí odkaz:
http://arxiv.org/abs/2310.18054
Autor:
Pajaziti, Antigona, Sadek, Mohammad
Let $E$ be an elliptic curve defined over $\mathbb{Q}$ and $\widetilde{E}_p(\mathbb{F}_p)$ denote the reduction of $E$ modulo a prime $p$ of good reduction for $E$. Given an integer $m\ge 2$ and any $a$ modulo $m$, we consider how often the congruenc
Externí odkaz:
http://arxiv.org/abs/2301.00711
Autor:
Darwish, Mohamed O, Sadek, Mohammad
A polynomial with rational coefficients is said to be pure with respect to a rational prime $p$ if its Newton polygon has one slope. In this article, we prove that the number of irreducible factors of the $n$-th iterate of a pure polynomial over the
Externí odkaz:
http://arxiv.org/abs/2211.11095
Autor:
Sadek, Mohammad, Wafik, Mohamed
We consider the family of polynomials $f_{d,c}(x)=x^d+c$ over the rational field $\Q$. Fixing integers $d, n\ge 2$, we show that the density of primes that can appear as primitive prime divisors of $f_{d,c}^n(0)$ for some $c\in\Q$ is positive. In fac
Externí odkaz:
http://arxiv.org/abs/2209.07624
Autor:
Sadek, Mohammad
We consider elliptic surfaces whose coefficients are degree $2$ polynomials in a variable $T$. It was recently shown that for infinitely many rational values of $T$ the resulting elliptic curves have rank at least $1$. In this article, we prove that
Externí odkaz:
http://arxiv.org/abs/2207.00114
Autor:
Barsakçı, Burcu, Sadek, Mohammad
Let $S$ be the collection of quadratic polynomial maps, and degree $2$-rational maps whose automorphism groups are isomorphic to $C_2$ defined over the rational field. Assuming standard conjectures of Poonen and Manes on the period length of a period
Externí odkaz:
http://arxiv.org/abs/2206.03526
Autor:
Sadek, Mohammad, Yesin, Tuğba
Let $C$ be a smooth genus one curve described by a quartic polynomial equation over the rational field $\mathbb Q$ with $P\in C(\mathbb Q)$. We give an explicit criterion for the divisibility-by-$2$ of a rational point on the elliptic curve $(C,P)$.
Externí odkaz:
http://arxiv.org/abs/2205.11415
We prove explicit formulas for certain first and second moment sums of families of Gaussian hypergeometric functions $_{n+1}F_n$, $n\ge1$, over finite fields with $q$ elements where $q$ is an odd prime. This enables us to find an estimate for the val
Externí odkaz:
http://arxiv.org/abs/2111.08393
Autor:
Abo-Ismail, Mohammed, Sadek, Mohammad A.A., Humagain, Kamal, Banjara, Nabaraj, Pokharel, Siroj
Publikováno v:
In Food Microbiology December 2024 124