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  • 标题:OBSERVATIONS ON THE NON-HOMOGENEOUS SEXTIC EQUATION WITH FOUR UNKNOWNS x3+y3=2(k2+3)z5w
  • 本地全文:下载
  • 作者:S.Vidhyalakshmi ; M.A.Gopalan ; A.Kavitha
  • 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.
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