Results 101 to 110 of about 3,148,152 (262)

On the Diophantine equation $(x^{2}+y^{2})^{2} + (2pxy)^{2} = z^{2}$ [PDF]

, 2021
Vinodkumar Ghale, Shamik Das, Debopam Chakraborty   +2 more
openalex  

NATURE OF THE DIOPHANTINE EQUATION 4X + 12Y = Z2

, 2021
S.P. Behera, A.C. Panda
openalex   +1 more source

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 the Diophantine Equation 11∙3x +11y =z2 where x, y and z are Non-Negative Integers

, 2022
Sutthiwat Thongnak, Wariam Chuayjan, Theeradach Kaewong   +2 more
openalex   +1 more source

Generalization of Markov Diophantine Equation via Generalized Cluster Algebra [PDF]

, 2023
Yasuaki Gyoda, Kodai Matsushita
openalex   +1 more source

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

Solutions of the diophantine equation 𝑥²-𝐷𝑦⁴=𝑘 [PDF]

, 1968
Mohan Lal, James Dawe
openalex   +1 more source

The Diophantine equation Fn = P(x)

, 2020
Szabolcs Tengely, Maciej Ulas
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A Diophantine system

International Journal of Mathematics and Mathematical Sciences, 1986
It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.
Andrew Bremner
doaj   +1 more source

Diophantine equations in two variables [PDF]

, 2002
Minhyong Kim
openalex   +1 more source