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Asian Journal of Algebra

Year: 2011 | Volume: 4 | Issue: 1 | Page No.: 31-37
DOI: 10.3923/aja.2011.31.37
The Diophantine Equations of Second and Higher Degree of the Form 3xy = n (x + y) and 3xyz = n (xy + yz + zx) etc
Hari Kishan, Megha Rani and Smiti Agarwal

Abstract: In this study, the Diophantine equations of second and higher degree of the form 2xy = n (x + y), 3xy = n (x + y), 3xyz = n (xy + yz + xz), 4xyz = n (xy + yz + xz), 3wxyz = n (xyz + wyz + xyz + wxz) and 4vwxyz = n (wxyz + vxyz + vwyz + vwyz + vwxy), have been discussed. Congruence modulo relation has been used for solution part. Attempt has been made to obtain some positive integral solutions of these Diophantine equations.

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Hari Kishan, Megha Rani and Smiti Agarwal, 2011. The Diophantine Equations of Second and Higher Degree of the Form 3xy = n (x + y) and 3xyz = n (xy + yz + zx) etc. Asian Journal of Algebra, 4: 31-37.

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