Work

On the Diophantine Equation 1/w+1/x+1/y+1/z=u/u+1

Year: 2025

Type: article

Abstract: In 2023, Wongsanurak and Duangdai found all positive integer solutions of the Diophantine equation , when and are positive integers with and . In this work, by using an elementary approach, we solved the Diophantine equation for any positive integer and . The results of the research found that the Diophantine equation under the above conditions has twenty-seven positive integer solutions.

Source: Progress in Applied Science and Technology

DOI: 10.60101/past.2025.257129

Author: Suton Tadee

Institution: Thepsatri Rajabhat University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409952835

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