A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

Abstract : The main thrust of this paper is focused on determining varieties of non-zero distinct integer solutions to the non-homogeneous ternary cubic Diophantine equation 7 (x2-xy+y2)= 12 z3 . Various choices of integer solutions to the above equation are obtained by reducing it to the equation which is solvable, through employing suitable transformations and applying the factorization method.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-08-15
DOI
https://doi.org/10.5281/zenodo.13327291
Primary Topic
Photovoltaic Systems and Sustainability
Type
article
Field-Weighted Citation Impact
0.00
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article

A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

Zenodo (CERN European Organization for Nuclear Research)
Photovoltaic Systems and Sustainability
article

A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

article en

Abstract

Abstract : The main thrust of this paper is focused on determining varieties of non-zero distinct integer solutions to the non-homogeneous ternary cubic Diophantine equation 7 (x2-xy+y2)= 12 z3 . Various choices of integer solutions to the above equation are obtained by reducing it to the equation which is solvable, through employing suitable transformations and applying the factorization method.

Zenodo (CERN European Organization for Nuclear Research)
Bharathidasan University (IN)
Openalex Percentile: Top 64%
Photovoltaic Systems and Sustainability
DOIOpen Access PDFOpenAlex
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A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3 · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS