A Trek on the Quadratic Surface X2+2y=z3

Abstract This paper is concerned with the problem of obtaining non-zero distinct integer solutions to the quadratic surface given by the homogeneous ternary second degree polynomial equation X2+ 2y = 3z2. Employing linear transformations, different patterns of integer solutions to the considered quadratic surface are obtained.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22109133
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

A Trek on the Quadratic Surface X2+2y=z3

V. Anbuvalli, J. Shanthi, M.A. Gopalan
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

A Trek on the Quadratic Surface X2+2y=z3

V. Anbuvalli, J. Shanthi, M.A. Gopalan
article en

Abstract

Abstract This paper is concerned with the problem of obtaining non-zero distinct integer solutions to the quadratic surface given by the homogeneous ternary second degree polynomial equation X2+ 2y = 3z2. Employing linear transformations, different patterns of integer solutions to the considered quadratic surface are obtained.

Zenodo (CERN European Organization for Nuclear Research)
Bharathidasan University (IN)
Openalex Percentile: Top 8%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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