Diophantine equations / by 363625 Mordell, L. J.

On the Diophantine equation by Zahari, N. M., Sapar, Siti Hasana, Mohd Atan, Kamel Ariffin

“…This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for n ≥ 2 and it is found that the integral solution of these equation are of the form a = b = t2, c = t3 for any integers t.…”
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Diophantine equations in two variables by Kim, M

Bound on some Diophantine equation by Amalulhair, N. H., Sapar, S. H., Johari, M. A. M.

“…Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. …”

The matrix diophantine equations $AX + BY = C$ by N. S. Dzhaliuk, V. M. Petrychkovych

“…A method of constructing of solutions of matrix Diophantine equations $AX + BY = C$ over commutative domains of finitely generated principal ideals is suggested. …”
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Teaching Congruences in Connection with Diophantine Equations by Ďuriš Viliam, Gonda Dalibor, Tirpáková Anna, Gabriela Pavlovičová

“…Research also demonstrated the suitability of using Diophantine equations to link congruences and equations. …”
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The solubility of diagonal cubic diophantine equations by Heath-Brown, D

On the exponential diophantine equations of degree three by Amalul Hair, Nur Hidayah, Sapar, Siti Hasana

“…Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. …”
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Neutrosophic Linear Diophantine Equations with Two Variables by Hasan Sankari, Mohammad Abobala

Subjects: “…neutrosophic linear diophantine equation…”
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On Some Methods for Solution of Linear Diophantine Equations by Azam Imomov, Yorqin T. Khodjaev

Subjects: “…diophantine equation…”
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On the diophantine equation p ͯ +qᵐnᵞ = z² by Bakar, Halimatun Saadiah

Subjects: “…Diophantine equations…”
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Matrix Diophantine equations over quadratic rings and their solutions by N.B. Ladzoryshyn, V.M. Petrychkovych, H.V. Zelisko

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A New Solution to a Cubic Diophantine Equation by John C. Butcher

Subjects: “…Diophantine equations…”
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The formal solutions of Diophantine equation agy = bx + c by Xiazhou Yang

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Novel Authentication Protocols Based on Quadratic Diophantine Equations by Avinash Vijayarangan, Veena Narayanan, Vijayarangan Natarajan, Srikanth Raghavendran

“…The Diophantine equation is a strong research domain in number theory with extensive cryptography applications. …”
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On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases by Ahmed Balfaqih, Abdulrahman Hamed

“…It is a famous unsolved conjecture on Pythagorean triples and exponential Diophantine equations, and generally it has not been solved yet. …”
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DETECTION OF DEADLOCKS IN PARALLEL PROGRAMS AS SOLUTION OF LINEAR DIOPHANTINE EQUATIONS by Olga F. Babakhyan

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A Quadratic Diophantine Equation Involving Generalized Fibonacci Numbers by Ana Paula Chaves, Pavel Trojovský

“…In this paper, we shall solve the Diophantine equation <inline-formula> <math display="inline"> <semantics> <mrow> <msubsup> <mi>F</mi> <mi>n</mi> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> </msubsup> <mo>=</mo> <msup> <mrow> <mo stretchy="false">(</mo> <msubsup> <mi>F</mi> <mi>m</mi> <mrow> <mo stretchy="false">(</mo> <mi>l</mi> <mo stretchy="false">)</mo> </mrow> </msubsup> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <mn>1</mn> </mrow> </semantics> </math> </inline-formula>, in positive integers <inline-formula> <math display="inline"> <semantics> <mrow> <mi>m</mi> <mo>,</mo> <mi>n</mi> <mo>,</mo> <mi>k</mi> </mrow> </semantics> </math> </inline-formula> and <i>l</i>.…”
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On the Symbolic 2-plithogenic Fermat's Non-Linear Diophantine Equation by Heba Alrawashdeh, Othman Al-Basheer, Arwa Hajjari

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On the diophantine equation x² + 4.7ᵇ = y²ʳ by Yow, Kai Siong, Sapar, Siti Hasana, Atan, Kamel Ariffin

“…This paper investigates and determines the solutions for the Diophantine equation x²+ 4.7ᵇ= y²ͬ, where x, y, bare all positive intergers and r> 1. …”
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