Results 101 to 110 of about 1,430,683 (165)

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

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
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Exponential Diophantine equations [PDF]

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

On the Diophantine equation x3=dy2±q6

International Journal of Mathematics and Mathematical Sciences, 2001
Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).
Fadwa S. Abu Muriefah
doaj   +1 more source

On Some Diophantine Equations

, 1988
Our purpose is to study a variety of Diophantine equations involving the Smarandache function.
Tuţescu, Lucian, Burton, Emil
openaire   +2 more sources

Is there a computable upper bound for the height of a solution of a Diophantine equation with a unique solution in positive integers?

Open Computer Science, 2017
Let Bn = {xi · xj = xk : i, j, k ∈ {1, . . . , n}} ∪ {xi + 1 = xk : i, k ∈ {1, . . . , n}} denote the system of equations in the variables x1, . . . , xn. For a positive integer n, let _(n) denote the smallest positive integer b such that for each system
Tyszka Apoloniusz
doaj   +1 more source

Solving Diophantine Equation Using Class Number

, 2016
Solving Diophantine Equation Using Class ...
Percival, Andrew
core  

Solutions of the diophantine equation ... [PDF]

, 2011
In this paper, we study the diophantine equation 2 x + p y = z 2 where where p is a prime number and x, y and z are non-negative ...
Alongkot Suvarnamani
core  

关于方程x²-1=yⁿ

四川大学学报. 自然科学版, 1962
Recently, Chao Koc 1 3' E2:i proved that the diophantine equationshave no integral solutions x,y with xy dpO..n this paper, I shall prove that the diophantine equation is impossible when p = 5, 7, 11, 13, 17, 19, 23, 29, 41, 43, 47,.> -r. 53, 61, 71, 79,
张世勋
doaj  

A radical diophantine equation

, 1981
All solutions in positive integers x, y z of the diophantine equation x1m + y1n = z1r are determined, where m, n, r are given positive integers. The proof makes use of a simple criterion for the irreducibility of the polynomial xn − a over the rationals,
Newman, Morris
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