A Study on Two Curious Diophantine Problems

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Research ID 9AW65

Abstract

In this communication, an attempt has been made to obtain pairs of non-zero distinct integers such that, in each pair,

i) The square of the sum added with the cube of the sum is equal to two times the sum of the cubes of the corresponding integers.

ii) 2k times the square of the sum added with the cube of the sum is equal to two times the sum of the cubes of the corresponding integers.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    FOR Code: 11D99

  • Version of record

    v1.0

  • Issue date

    29 April 2019

  • Language

    English

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Research Article
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Volume LJRS Volume 19 Issue 1, Pg. 13-16