%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