Výsledky vyhledávání - "Ismaïla Diouf"

Linear forms in logarithms and the mathematical method of diophantine equations: applications in chemistry and physics

Publikováno v: Journal of Mathematical Chemistry. 59:2009-2020

In this paper, we established the bound of n in term of p of the following equation $${\mathcal {F}}_n=2^p\quad {\text {with}}\quad n,p\ge 0 $$ where $$\{{\mathcal {F}}_n\}_{n\ge 0}$$ represent Fibonacci sequence defined by the following relation : $

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c413d3dc84db72229aa209276880b39c
https://doi.org/10.1007/s10910-021-01274-y

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Akademický článek

Application de la méthode de Baker á la méthode de Dandelin-Graeffe

Autor: Ismaila, Diouf

Publikováno v: Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 2007 Jan 01. 50(2), 139-147.

Externí odkaz: https://www.jstor.org/stable/43679321

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NEW DIVISIBILITY TESTS

Autor: Pagdame Tiebekabe, Ismaïla Diouf

Publikováno v: Far East Journal of Mathematical Education
Far East Journal of Mathematical Education, Pushpa Publishing House, 2021, 21 (1), pp.31-41. ⟨10.17654/ME021010031⟩

International audience; In this article, we first made the inventory of some various divisibility tests of 7 known, studied the effectiveness of these tests, demonstrate the new divisibility test of 7 proposed by the young Nigerian Chika Ofili and an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fc1e49759ec2051af06cd4fff22be53
https://hal.archives-ouvertes.fr/hal-03204944

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Powers of Three as Difference of Two Fibonacci numbers

Autor: Pagdame Tiebekabe, Ismaïla Diouf

Publikováno v: JP Journal of Algebra, Number Theory and Applications
JP Journal of Algebra, Number Theory and Applications, Pushpa Publishing House, 2021, 49 (2), pp.185-196. ⟨10.17654/NT049020185⟩

International audience; The goal of this paper is to find, in a simple and rigorous way, all powers of three as the difference of two Fibonacci numbers, that is, we study a Diophantine equation p Fn − Fm = 3 in nonnegative integers n, m and p, wher

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b45372cfa27ff36b53140a49ae87424
https://hal.archives-ouvertes.fr/hal-03204945

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Testing degenerate polynomials

Autor: Maurice Mignotte, Mihai Cipu, Ismaïla Diouf

Publikováno v: Applicable Algebra in Engineering, Communication and Computing. 22:289-300

Two methods to test whether a given polynomial has two distinct roots whose quotient is a root of unity are discussed.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1b6b61b5709927edd235b92169a7027e
https://doi.org/10.1007/s00200-011-0150-8

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Estimates for the Roots of Polynomials Without Complex Analysis

Autor: Ismaïla Diouf

Publikováno v: Journal of Mathematics Research. 6

In our precedence paper (Diouf, Diakhate, \& Watt, 2013), we show the continuity of the zeros of a univariate polynomial which respect to the coefficients. Here we study the sizes of a polynomial and their bounds. The main originality of this paper i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::05f95633e809c255811d5246f7a4dbe1
https://doi.org/10.5539/jmr.v6n1p42

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Perturbation on Polynomials

Autor: Abdoul O. Watt, Ismaïla Diouf, Babacar Diakhaté

Publikováno v: Journal of Mathematics Research. 5

For univariate polynomials with complex coefficients there are many estimates about the roots of polynomials. Moreover, the result corresponding to the ``continuity of the zeroes which respect to the coefficients'' is generally obtained as a corollar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ad4e8a72e42f8028437b759aad7c6758
https://doi.org/10.5539/jmr.v5n3p51

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Akademický článek

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On solutions of the Diophantine equation L n + L m = 3 a

Autor: Pagdame Tiebekabe, Ismaïla Diouf

Publikováno v: HAL

Let (Ln) n≥0 be the Lucas sequence given by L0 = 2, L1 = 1 and Ln+2 = Ln+1 + Ln for n ≥ 0. In this paper, we are interested in finding all powers of three which are sums of two Lucas numbers, i.e., we study the exponential Diophantine equation Ln

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a1d8c1dfd616f8249b1ae7b2d8b5c0c4
https://hal.archives-ouvertes.fr/hal-03243010

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