On the Heptic Non-Homogeneous Equation with Four Unknowns xy(x+y) + zw6 =0

Abstract

 The heptic non-homogeneous equation with four unknowns represented by the diophantine equation ( ) 2 0 6 xy x + y + zw = is analyzed for its patterns of non-zero distinct integral solutions and two different methods of integral solutions are illustrated. Various interesting relations between the solutions and special numbers, namely, Pyramidal numbers, Pronic numbers, Star numbers, Gnomonic numbers, Centered Polygonal numbers, Centered Hexagonal Pyramidal numbers, fourth dimensional figurate numbers are exhibited.

Authors and Affiliations

M. A. Gopalan*

Keywords

Related Articles

 Mechanism of Automation in Vehicles

 India is the world’s largest market for automobiles. Newer models with improved fuel efficiency and power ratings keep hitting the market off and on. Sadly, the security aspects of automobiles remains neglected. T...

 Comparative Study of Surface Morphology and Spectroscopic Analysis for Corona and Chromic Acid Treated Polyethylene Film for Water Based Ink Printing

 Polyethylene, Specially the LDPE is one of the most widely used thermoplastic in packaging industries, due to its low cost, broad range of properties like excellent moisture barrier and chemical resistance which a...

 An invesgation of En8 Material on Abrasive Water jet Machine

 Abrasive water jet machine (AWJM) is a nontraditional machining process. Abrasive water jet machining is a process of removal of material by impact erosion of high pressure (1500-4000 bar), high velocity of water...

 JOINT EFFECT OF STRIDE LENGTH AND STRIDE WIDTH ON RUNNINGPERFORMANCE

 The purpose of this study is to describe joint effect of stride length and stride width on running performance of100m sprinters and 5000m distance runners during completion. Twenty runners (Ten100m sprinters &...

 An Inventive Marker based Section Assimilation Technique using Concept of Seeding

 Efficient and effective object extraction of image in image segmentation is an important task in pattern recognition and computer vision. It is very hard to find a fully automatic object extraction method in pract...

Download PDF file
  • EP ID EP111893
  • DOI -
  • Views 80
  • Downloads 0

How To Cite

M. A. Gopalan* (30).  On the Heptic Non-Homogeneous Equation with Four Unknowns xy(x+y) + zw6 =0. International Journal of Engineering Sciences & Research Technology, 2(5), 1313-1317. https://europub.co.uk/articles/-A-111893