Results 91 to 100 of about 3,148,152 (262)

On solutions of the Diophantine equation $F_{n_{1}}+F_{n_{2}}+F_{n_{3}}+F_{n_{4}}=2^a$ [PDF]

, 2022
Pagdame Tiebekabe, Ismaïla Diouf
openalex   +1 more source

Exponential Diophantine equations [PDF]

Pacific Journal of Mathematics, 1982
Brenner, J. L., Foster, Lorraine L.
openaire   +3 more sources

On the Diophantine Equation x2 – kxy + ky2 + ly = 0, l = 2n

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y.
Mavecha Sukrawan
doaj   +1 more source

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]

Ramanujan J, 2021
Ddamulira M, Luca F.
europepmc   +1 more source

On Diophantine equations involving Lucas sequences

Open Mathematics, 2019
In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
doaj   +1 more source

Positive solutions of the diophantine equation

International Journal of Mathematics and Mathematical Sciences, 1982
Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.
W. R. Utz
doaj   +1 more source

A note on the Diophantine equation (aⁿx^m±1)/(aⁿx±1)=yⁿ+1 [PDF]

, 2001
Jiagui Luo
openalex   +1 more source

Two exponential Diophantine equations [PDF]

Glasgow Mathematical Journal, 1997
In [3], two open problems were whether either of the diophantine equationswith n ∈ Z and f a prime number, is solvable if ω > 3 and 3 √ ω, but in this paper we allow f to be any (rational) integer and also 3 | ω. Equations of this form and more general ones can effectively be solved [5] with an advanced method based on analytical results, but the ...
openaire   +1 more source

All solutions of consecutive natural numbers sum equation and their closed forms

Al-Jabar
Purpose: This study aims to find a closed-form solution for all ordered pairs of natural numbers (?,?) satisfying the consecutive natural number sum equation 1 + 2 + ⋯ + ? sama dengan (? + 1) + (? + 2) + ⋯ + ?. This research contributes to number theory,
Sofihara Al Hazmy, Cahya Alkahfi, Muhamad Syazali, Fulkan Kafilah Al Husein   +3 more
doaj   +1 more source

From Diophantian Equations to Matrix Equations (Iv) - Diophantian Equations of Higher Degree [PDF]

Educaţia 21
In the context of training and developing the skills of teachers, students and children to solve exercises and problems in Mathematics, in this paper we propose to continue the steps started in the first three papers with the same generic title and ...
Teodor Dumitru Vălcan
doaj   +1 more source