LATTICE POINTS ON THE HOMOGENEOUS CUBIC EQUATION WITH FOUR UNKNOWNS x2 - xy + y2 + 4w2 = 8z3

Autor:	V.A Bindu, Manju Somanath, Radhika Das
Rok vydání:	2020
Předmět:	Physics Homogeneous Mathematical analysis Zero (complex analysis) Star (graph theory) Polygonal number Cubic function Dodecahedral number Figurate number
Zdroj:	International Journal of Research -GRANTHAALAYAH. 8
ISSN:	2350-0530 2394-3629
DOI:	10.29121/granthaalayah.v8.i8.2020.932
Popis:	The Homogeneous cubic equation with four unknowns represented by the equation x2 - xy + y2 + 4w2 = 8z3 is analyzed for its patterns of non zero distinct integral solutions. Here we exhibit four different patterns. In each pattern we can find some interesting relations between the solutions and special numbers like Polygonal number, Three-Dimensional Figurate number, Star number, Rhombic Dodecahedral number etc.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9d89898c648e8c0502d8d06954d72590 https://doi.org/10.29121/granthaalayah.v8.i8.2020.932 Zobrazit plný text záznamu