On Finding Integer Solutions to Binary Cubic Equation 3X2-XY=Y3

ABSTRACT The non-homogeneous polynomial equation of degree three with two unknowns given by 3X2-XY=Y3 is studied to determine its distinct integer solutions . Some connections between the solutions are presented. Second order Ramanujan numbers are obtained through integer solutions of the given binary cubic equation . KEYWORDS: Binary cubic equation ,Non-homogeneous cubic equation ,Integer solutions , Second order Ramanujan numbers

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-28
DOI
https://doi.org/10.5281/zenodo.16980288
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

On Finding Integer Solutions to Binary Cubic Equation 3X2-XY=Y3

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

On Finding Integer Solutions to Binary Cubic Equation 3X2-XY=Y3

article en

Abstract

ABSTRACT The non-homogeneous polynomial equation of degree three with two unknowns given by 3X2-XY=Y3 is studied to determine its distinct integer solutions . Some connections between the solutions are presented. Second order Ramanujan numbers are obtained through integer solutions of the given binary cubic equation . KEYWORDS: Binary cubic equation ,Non-homogeneous cubic equation ,Integer solutions , Second order Ramanujan numbers

Zenodo (CERN European Organization for Nuclear Research)
Bharathidasan University (IN)
Openalex Percentile: Top 63%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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On Finding Integer Solutions to Binary Cubic Equation 3X2-XY=Y3 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS