Binary Third degree Diophantine Equation 5 (x-y)3 = 8xy

This article emphasizes on finding non-zero different integer solutions to binary third degree Diophantine equation 5 (x-y)3 = 8xy . Two different sets of solutions in integers are presented. Some fascinating relations from the solutions are obtained. The method to get second order Ramanujan numbers is illustrated.

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Publication Details

Journal
Oriental Journal of Physical Sciences
Published
2024-08-30
DOI
https://doi.org/10.13005/ojps09.01.11
Citations
1
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
1.01
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article

Binary Third degree Diophantine Equation 5 (x-y)3 = 8xy

N. Thiruniraiselvi, M. A. Gopalan
1 citations
Oriental Journal of Physical Sciences
Algebraic Geometry and Number Theory
1.01
article

Binary Third degree Diophantine Equation 5 (x-y)3 = 8xy

N. Thiruniraiselvi, M. A. Gopalan
article en
1 citations

Abstract

This article emphasizes on finding non-zero different integer solutions to binary third degree Diophantine equation 5 (x-y)3 = 8xy . Two different sets of solutions in integers are presented. Some fascinating relations from the solutions are obtained. The method to get second order Ramanujan numbers is illustrated.

Oriental Journal of Physical SciencesVol. 9(1)
Bharathidasan University (IN), Dhanalakshmi Srinivasan Group of Institutions (IN)
Openalex Percentile: Top 24%
Algebraic Geometry and Number Theory
1.01
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