文章基本信息

标题：OBSERVATIONS ON THE NON-HOMOGENEOUS SEXTIC EQUATION WITH FOUR UNKNOWNS x³+y³=2(k²+3)z⁵w
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作者：S.Vidhyalakshmi ; M.A.Gopalan ; A.Kavitha 等
期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2013
卷号：2
期号：5
页码：1301
出版社：S&S Publications
摘要：The sextic non-homogeneous equation with four unknowns represented by the Diophantineequation x y k z w 3 3 2 5   2(  3) is analyzed for its patterns of non-zero distinct integral solutionsare illustrated. Various interesting relations between the solutions and special numbers, namelypolygonal numbers, Pyramidal numbers, Jacobsthal numbers, Jacobsthal-Lucas number, Pronicnumbers, Star numbers are exhibited.
关键词：Integral solutions; sextic non-homogeneous equation.