Zobrazeno 1 - 10
of 40
pro vyhledávání: '"M. Mkaouar"'
Autor:
W. Wannes, M. Mkaouar
Publikováno v:
Journal of Number Theory. 160:629-645
Let q ≥ 2 be an integer and S q ( n ) denote the sum of the digits in base q of the positive integer n . It is proved that for every real number α and β with α β , lim x ⟶ + ∞ 1 x ♯ { n ≤ x : α ≤ v ( φ ( n ) ) − 1 2 b ( log
Publikováno v:
Acta Mathematica Hungarica. 149:396-412
The aim of this work is to estimate sums involving P(n), the largest prime factor of an integer \({n \geqq 2}\) under digital constraints \({{f(P(n)) \equiv a}{\rm mod} b}\), for every \({a \in \mathbb{Z}}\) and an integer \({b \geqq 2}\) where f is
Publikováno v:
Bulletin of the Australian Mathematical Society. 93:177-185
Let $P(n)$ denote the largest prime factor of an integer $n\geq 2$. In this paper, we study the distribution of the sequence $\{f(P(n)):n\geq 1\}$ over the set of congruence classes modulo an integer $b\geq 2$, where $f$ is a strongly $q$-additive in
Autor:
M. Mkaouar, W. Wannes
Publikováno v:
Acta Mathematica Hungarica. 143:88-95
Let \({q\geqq2}\) be an integer and denote S(n) the sum of the digits in base q of the positive integer n. Our main result is to estimate the sum \({\Sigma_{n\leqq x}\tilde{\omega}(n)}\) where \({\tilde{\omega}(n)}\) is the number of distinct prime f
Publikováno v:
Communications in Algebra. 39:3133-3137
The aim of this article is to prove the irreducibility of the polynomial Λ(Y) = Y d + λ d−1 Y d−1 + … + λ0 over 𝔽 q [X] where λ i ∈ 𝔽 q [X] and deg λ d−1 > deg λ i for each i ≠ d − 1. We discuss in particular connections bet
Publikováno v:
International Journal of Algebra. 1:363-373
The purpose behind this work is to construct from a family of algebraic formal power series of degree more than 2, a family of transcendental fractions over IKp(X).
Autor:
M. Hbaib, M. Mkaouar
Publikováno v:
International Journal of Number Theory. :365-378
Let β be a fixed element of 𝔽q((X-1)) with polynomial part of degree ≥ 1, then any formal power series can be represented in base β, using the transformation Tβ : f ↦ {βf} of the unit disk [Formula: see text]. Any formal power series in [F
Publikováno v:
Journal of Number Theory. 116:140-149
There are uncountably many continued fractions of formal power series with bounded sequence of partial quotients, most of them are transcendental, but it is not very easy to give examples. This paper creates many families of such examples in an inter
Autor:
M. Mkaouar, R. Bouaziz
Publikováno v:
ACS/IEEE International Conference on Computer Systems and Applications, 2003. Book of Abstracts..
Summary form only given. Relational model lacks the support for a standard approach to manipulate the temporal dimension of data. The development of temporal applications through this model is therefore complex and expensive, especially since it is r
Autor:
M. Mkaouar, R. Lepage
Publikováno v:
Proceedings 1995 Canadian Conference on Electrical and Computer Engineering.
By analogy to the mammalian visual system, a scheme is presented for image characteristic extraction from several channels of analysis with spatial frequencies. The significant contours on several scales are integrated to form a connected sketch. Fre