OpenAlex | On Parametric and Matrix Solutions to the Diophantine Equation <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msup> <mrow> <mi>x</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi mathvariant="normal">d</mi> <msup> <mrow> <mi>y</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mrow> <mi>z</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> </math> Where <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>d</mi> </math> Is a …

On Parametric and Matrix Solutions to the Diophantine Equation x 2 + d y 2 − z 2 = 0 Where d Is a …

Work

Year: 2023

Type: article

Abstract: The well‐known matrix‐generated tree structure for Pythagorean triplets is extended to the primitive solutions of the Diophantine equation x 2 + d y 2 − z 2 = 0 where d is a positive square‐free integ... more

Source: International Journal of Mathematics and Mathematical Sciences

Authors James D. Shaw, James Guyker

Institution Buffalo State University

Cites: 14

Cited by: 1

Related to: 10

FWCI: 0.704

Citation percentile (by year/subfield): 54.25

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

APC paid (est): $1,025