Lattice Points on the Homogeneous Cone
Journal Title: Scholars Journal of Engineering and Technology - Year 2014, Vol 2, Issue 1
Abstract
The ternary quadratic homogeneous equation representing homogeneous cone given by by is analyzed for its non-zero distinct integer points on it. Three different patterns of integer points satisfying the cone under consideration are obtained. A few interesting relations between the solutions and special number patterns namely Polygonal number, Pyramidal number, Octahedral number, Pronic number, Stella Octangular number, Pentatope number and Nasty number are presented. Also knowing an integer solution satisfying the given cone, three triples of integers generated from the given solution are exhibited. Keywords: Ternary homogeneous quadratic, integral solutions
Authors and Affiliations
K. Meena . , S. Vidhyalakshmi, M. A. Gopalan, N. Sujitha
Keywords
Related Articles
- EP ID EP384750
- DOI -
- Views 90
- Downloads 0
Integral Solution of the Non-Homogeneous Heptic Equation with Five Unknowns
We obtain infinitely many non-zero integer quintuples satisfying the non-homogeneous equation of degree seven with five unknowns given by .Various interesting properties between the solutions and special numbers are p...
The Design of Olap-Based Muti-Dimensional Analysis System for Hospital Information
A multi-dimensional analysis of the hospital information system design is proposed based on OLAP technology which realizes OLAP multi-dimensional data analysis. A number of themes are determined in accordance with the sp...
Thermal Investigation and Heat Flux Analysis of a Cascaded Transformer in the Tropics
The tropics is characterized with high temperature but in recent time with the advent of global warming that had shot the world temperature so high ,cascaded transformers failure is imminent due to excessive heat stored...
Assist Web-Based Grade Entry and Inquiry System
Abstract: The researchers developed the ASIST Web-Based Grade Entry and Inquiry System. Specifically, it achieved the following objectives: a.) determined the policies and procedures of grade inquiry and entry system, b....
Are you ready for the Quantum Age?
The word Quantum is one of the hottest terms since the beginning of this century. Quantum computer, quantum dot TV, quantum communication, quantum battery, quantum dot mobile phone, and quantum printer are gradually beco...