1 citations · 2 across the 10 of their papers we have counts for
10 papers
The Theory of Topo-Symmetric Extensions of Topological Groups
Es-said En-naoui
We introduce the notion of \emph{topo-symmetric extensions} of topological groups, a new generalization of classical group extensions that incorporates both topological and symmetr…
The Exponential Congruence Symbol
Es-said En-naoui
In this work, we study the generalized k-th power symbol (a/n)_k and present a comprehensive collection of its algebraic properties. The results are classified according to their d…
A Universal Space of Arithmetic Functions:The Banach--Hilbert Hybrid Space U
Es-said En-naoui
We introduce a new functional space U designed to contain all classical arithmetic functions (Mobius, von Mangoldt, Euler phi, divisor functions, Dirichlet characters, etc.). The n…
Extended Mittag--Leffler Stability Results for Fuzzy Fractional Systems
Es-said En-naoui
We extend Lyapunov--type Mittag--Leffler stability analysis for fuzzy nonlinear fractional differential equations (Caputo sense) and introduce a family of stronger, broadly applica…
The Modular Energy Function: Exact Identities and a Primality Equivalence
Es-said En-naoui
We introduce and study the arithmetic function E_m(n), defined as the sum of the remainders of n when divided by the first m positive integers. Although the definition is elementar…
Arithmetic and Asymptotic Properties of Restricted Totient Sums
Es-said En-naoui
This article extends our previous study on the summatory behavior of Euler's totient function . We investigate two complementary restricted sums, $Υ(x,p)=\sum_{\substack{k\le…
The Dirichlet series of the arithmetic derivative
Es-said En-naoui
The main object of this paper is to give the generalized von mangoldt function using the L-additive function which can help us to make it possible to calculate The Dirichlet series…
Study of the generalized von mangoldt function defined by L-additive function
Es-said En-naoui
The main object of this paper is to study the generalized von mangoldt function using the L-additive function, which can help us give many result about the classical arithmetic fun…
Some remarks on sum of Euler's totient function
E. En-naoui
Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. The aim of this article is to give a result about the sum of euler's t…
Dirichlet product of derivative arithmetic with an arithmetic function multiplicative
Es-said En-naoui
We define the derivative of an integer to be the map sending every prime to 1 and satisfying the Leibniz rule. The aim of this article is to calculate the Dirichlet product of this…