A. Gaber

activity

20222026

collaborators

8 papers

math.GM2026

Euler's $ℓ$ -totients and Riemann hypothesis

Ahmed Gaber

This paper develops a new analytic framework for investigating the Riemann hypothesis. For each fixed integer $ℓ \geq 1$ , define Euler's $ℓ$ -totient function $φ_{ℓ}$ by \[ φ_…

math.GM2023

Fuzzy Extended Filters oF MS-Algebras

Ahmed Gaber, M. A. Seoud, Mona Tarek

In this article, for an $MS$ - algebra and a fuzzy filter $χ$ , the concept of extended fuzzy filter of $χ$ is presented, notated by $Υ_{χ, W}$ with $W \subseteq L$ .…

math.NT2022

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers

Ahmed Gaber

We solve the two Diophantine equations $P_{k} = J_{n} + J_{m}$ and $Q_{k} = J_{n} + J_{m}$ where ${P_{k}}_{k \geq 0}$ , ${Q_{k}}_{k \geq 0}$ and $\left\lbrac…

math.NT2022

On the diophantaine equations $J_{N} + J_{M} = F_{A}$ & $F_{N} + F_{M} = J_{A}$

Seif Tarek, Ahmed Gaber, M. Anwar

Let ${F_{k}}_{k \geq 0}$ be the Fibonacci sequence defined by $F_{k} = F_{F - 1} + F_{k - 2}$ for all $n \geq 2$ with initials $F_{0} = 0 F_{1} = 1$ . Let $\left\lbrace J…

math.CO2022

New bounds on the number of Edges of the maximal Permutation Graphs

M. Anwar, Mahmoud Tarek, Ahmed Gaber

In this paper, we bound the number of edges of a maximal permutation graph with n vertices. We propose a new method to compute the lower bound by splitting the set of labellings of…

math.AC2022

Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal

Ahmed Gaber, Mona Tarek

In this paper, we point out several errors in [M.Afkhami, K.Khashyarmanesh and K.Nafar, Zero divisor graph of a lattice with respect to an ideal, Beitr Algebra Geom (2015), 217-225…

math.NT2022

Padovan and Perrin Numbers as Sums of Two Jacobsthal Numbers

Mustafa Ismail, Ahmed Gaber, M. Anwar

Let ${P_{k}}_{k \geq 0}$ be the Padovan sequence defined by $P_{k} = P_{k - 2} + P_{k - 3}$ with initial values are $P_{0} = P_{1} = P_{2} = 1$ . Let $\left\lbrace R_{k}\rig…

math.NT2022

On the reciprocal sum of Jacobsthal numbers

Ahmed Gaber

In this paper, we study the reciprocal sums of the Jacobsthal numbers. We establish many results on the infinite sum and alternating infinite sum of the reciprocals of Jacobsthal n…

Euler's ℓ-totients and Riemann hypothesis

Fuzzy Extended Filters oF MS-Algebras

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers

On the diophantaine equations JN​+JM​=FA​ & FN​+FM​=JA​

New bounds on the number of Edges of the maximal Permutation Graphs

Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal

Padovan and Perrin Numbers as Sums of Two Jacobsthal Numbers

On the reciprocal sum of Jacobsthal numbers

Euler's $ℓ$ -totients and Riemann hypothesis

On the diophantaine equations $J_{N} + J_{M} = F_{A}$ & $F_{N} + F_{M} = J_{A}$