Work

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

Year: 2025

Type: article

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

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15689640

Author: Dr. J. Shanthi and Dr. M. A. Gopalan(

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6893352319

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