On Diophantine Equations 2<sup><i>x</i></sup> ± (2<sup><i>k</i></sup><i>p</i>)<sup><i>y</i></sup> = <i>z</i><sup>2</sup> and −2<sup><i>x</i></sup> + (2<sup><i>k</i></sup>3)<sup><i>y</i></sup> = <i>z</i><sup>2</sup>

On Diophantine Equations 2<sup><i>x</i></sup> ± (2<sup><i>k</i></sup><i>p</i>)<sup><i>y</i></sup> = <i>z</i><sup>2</sup> and −2<sup><i>x</i></sup> + (2<sup><i>k</i></sup>3)<sup><i>y</i></sup> = <i>z</i><sup>2</sup>

In this paper, we solve three Diophantine equations: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mn>2</mn><mi>x</mi></msup><mo>±</mo><msup>&...

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Bibliographic Details
Main Authors: Yuan Li, Torre Lloyd, Angel Clinton
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Catalan equation
elliptic curve
Online Access:https://www.mdpi.com/2227-7390/12/24/4027
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