Illustrates finding non-zero distinct integer solutions in non-homogeneous quaternary octic equations, indicating effective solving methods.
The main aim of this paper is to illustrate the process of obtaining non-zero distinct integer solutions to the non-homogeneous quaternary octic equation represented by x3+y3=(a2+3b2) zw7 Substitution technique and factorization method are utilized to obtain the same. We are able to solve the given octic equation through the methods suggested above for obtaining plenty of non-zero distinct integer solutions.
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Thiruniraiselvi et al. (2026) studied this question.
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