Integral Solutions of an Infinite Cone 􀢻􀵫􀢞􀫛 + 􀢟􀫛􀵯 = (􀫛􀢻 − 􀫚)􀢞􀢟 + (􀫝􀢻 − 􀫚)􀢠􀫛

Abstract

The quadratic Diophantine equation representing an infinite cone given by 􀢻(􀢞􀫛 + 􀢟􀫛) = (􀫛􀢻 − 􀫚)􀢞􀢟 + (􀫝􀢻 − 􀫚)􀢠􀫛, 􀢻 ∈ 􀡺, is analyzed for its non-zero distinct integer points. Few different patterns of integer points satisfying the infinite cone under consideration are obtained.

Authors and Affiliations

Manju Somanath, J. Kannan, K. Raja

Keywords

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  • EP ID EP22728
  • DOI -
  • Views 243
  • Downloads 3

How To Cite

Manju Somanath, J. Kannan, K. Raja (2016). Integral Solutions of an Infinite Cone 􀢻􀵫􀢞􀫛 + 􀢟􀫛􀵯 = (􀫛􀢻 − 􀫚)􀢞􀢟 + (􀫝􀢻 − 􀫚)􀢠􀫛. International Journal for Research in Applied Science and Engineering Technology (IJRASET), 4(10), -. https://www.europub.co.uk/articles/-A-22728