A Grouping of Integer Solutions to Binary Cubic Equation x^2-2kxy=(2s+1)y^3-(k^2-1)y^2

ABSTRACT The non-homogeneous polynomial equation of degree three with two unknowns given by is considered to determine its distinct integer solutions. A few connections between the solutions are presented. Second order Ramanujan numbers are obtained through utilizing integer solutions of the given third degree equation with two unknowns. KEYWORDS: Binary cubic equation, Non-homogeneous cubic equation ,Integer solutions , Second order Ramanujan numbers Notations

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-18
DOI
https://doi.org/10.5281/zenodo.15689640
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

A Grouping of Integer Solutions to Binary Cubic Equation x^2-2kxy=(2s+1)y^3-(k^2-1)y^2

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

A Grouping of Integer Solutions to Binary Cubic Equation x^2-2kxy=(2s+1)y^3-(k^2-1)y^2

article en

Abstract

ABSTRACT The non-homogeneous polynomial equation of degree three with two unknowns given by is considered to determine its distinct integer solutions. A few connections between the solutions are presented. Second order Ramanujan numbers are obtained through utilizing integer solutions of the given third degree equation with two unknowns. KEYWORDS: Binary cubic equation, Non-homogeneous cubic equation ,Integer solutions , Second order Ramanujan numbers Notations

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 57%
Advanced Mathematical Theories and Applications
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A Grouping of Integer Solutions to Binary Cubic Equation x^2-2kxy=(2s+1)y^3-(k^2-1)y^2 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS