On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-58 Number-4
Year of Publication : 2018
Authors : R.Anbuselvi and N.Ahila
  10.14445/22315373/IJMTT-V58P531

MLA

R.Anbuselvi and N.Ahila "On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2" , International Journal of Mathematics Trends and Technology (IJMTT). V58(4):221-225 June 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract

The cubic Diophantine equation with five unknowns represented by x3 + y3 + (x+y)(x-y)2=32(z+w)p2 is analyzed for its patterns of non-zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

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Keywords
Cubic Equation, Integral Solutions, Special Polygonal Numbers, Pyramidal Numbers