ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R²

This paper aims at finding different sets of solutions in integers to the surd equation u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R² . Some curious observations involving figurate numbers are exhibited.

Authors

N. Thiruniraiselvi (ORCID: https://orcid.org/0000-0003-4652-3846)
M. A. Gopalan (ORCID: https://orcid.org/0000-0003-1307-2348)
R. Sathyapriya

Publication Details

Journal: jnanabha
Published: 2025-01-01
DOI: https://doi.org/10.58250/jnanabha.2025.55113
Primary Topic: Differential Equations and Boundary Problems
Type: article
Field-Weighted Citation Impact: 0.00

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article

ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R²

N. Thiruniraiselvi, M. A. Gopalan, R. Sathyapriya

Jan 1, 2025

jnanabha

Differential Equations and Boundary Problems

article

ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R²

N. Thiruniraiselvi, M. A. Gopalan, R. Sathyapriya

January 1, 2025article en

Abstract

jnanabhaVol. 55(01)

Openalex Percentile: Top 72%

Differential Equations and Boundary Problems

DOI Source OpenAlex

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ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R² — N. Thiruniraiselvi, M. A. Gopalan, et al. · jnanabha (2025) | TGRS Research Map | TGRS