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The Diophantine Equations of Second and Higher Degree of the Form 3xy = n (x + y) and 3xyz = n (xy + yz + zx) etc

By 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

Topics: Diophantine equation, conjecture and integral solution, unit fraction, Egyptian fraction, congruence modulo, LCC:Mathematics, LCC:QA1-939, LCC:Science, LCC:Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: Asian Network for Scientific Information
Year: 2011
OAI identifier: oai:doaj.org/article:ae86e2d04b274dfab5b08bbc096e2fff
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