Results 21 to 30 of about 2,597 (231)

Homogeneous Diophantine equation of degree two in NP-complete [PDF]

open access: yes, 2022
In mathematics, a Diophantine equation is a polynomial equation, usually involving two or more unknowns, such that the only solutions of interest are the integer ones.
Frank Vega
core   +1 more source

An Overview on balancing chemical Equation Through Diophantine Equation [PDF]

open access: yes, 2022
Diophantine equation is an algebraic polynomial with two or more unknowns and integer coefficients such that only the integral solutions are required. The Diophantine equation are used to solve for all unknowns in the problems.
Sadashiv, Jagtap Gaytri
core   +2 more sources

On a Diophantine Equation [PDF]

open access: yesJournal of the London Mathematical Society, 1951
Summary: Denote by \(N(a,b)\) the smallest integer \(n\) so that \[ \frac{a}{b}=\frac{1}{x_1}+\cdots+\frac{1}{x_n},\quad ...
openaire   +4 more sources

GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]

open access: yes, 2002
This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
core   +1 more source

Diophantine Equation in Logarithms [PDF]

open access: yes, 2023
The main work of these pages is written by myself under the supervisor of Dr. Omar Kihel, pertaining to continued fractions and applications , linear form in logarithms and the solutions of Diophantine equation Fn1 + Fn2 + Fn3 + Fn4 = 6a .
Tian, Zhao
core   +1 more source

Cryptography Using Linear Diophantine Equation [PDF]

open access: yes, 2022
: This study is focused on the encrypting and decrypting of messages using the Linear Diophantine Equation: where , that is the integers and are relatively prime.
Mark Kenneth C. Engcot
core   +1 more source

On an diophantine equation [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2000
In this note, we find all solutions of the diophatine equation x2 + 3m = yn, where (x, y, m, n) are non-negative integers with x ≠ 0 and n ≥ 3.
openaire   +1 more source

On some Diophantine equations [PDF]

open access: yesJournal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü   +3 more
openaire   +1 more source

On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$ [PDF]

open access: yes, 2012
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma = y^n$ in positive integers $x,y\geq 1$, $\alpha ,\beta ,\gamma ,n\geq 3$ with $\gcd (x,y)=1$
Godinho, Hemar   +2 more
core   +1 more source

A hypothetical upper bound on the heights of the solutions of a Diophantine equation with a finite number of solutions

open access: yesOpen Computer Science, 2018
We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
doaj   +1 more source

Home - About - Disclaimer - Privacy