%0 Journal Article %T The Diophantine Equations of Second and Higher Degree of the Form 3xy = n (x + y) and 3xyz = n (xy + yz + zx) etc %A Hari Kishan %A Megha Rani %A Smiti Agarwal %J Asian Journal of Algebra %D 2011 %I %X 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. %K Diophantine equation %K conjecture and integral solution %K unit fraction %K Egyptian fraction %K congruence modulo %U http://docsdrive.com/pdfs/ansinet/aja/2011/31-37.pdf