alexa OBSERVATIONS ON THE NONHOMOGENEOUS QUINTIC EQUATION WIT
ISSN ONLINE(2319-8753)PRINT(2347-6710)

International Journal of Innovative Research in Science, Engineering and Technology
Open Access

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Research Article

OBSERVATIONS ON THE NONHOMOGENEOUS QUINTIC EQUATION WITH FIVE UNKNOWNS

S.Vidhyalakshmi1, S.Mallika2, M.A.Gopalan3
Assistant Professor of Mathematics , SIGC, Trichy-2,Tamilnadu,India 1
Lecturer of Mathematics , SIGC, Trichy-2,Tamilnadu,India 2
Assistant Professor of Mathematics , SIGC, Trichy-2,Tamilnadu,India3
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Abstract

The quintic Diophantine equation with five unknowns 4 4 2 2 2 2 3 x  y  2(k  s )(z w )p is analyzed for its infinitely many non-zero distinct integral solutions. A few interesting relations between the solutions and special numbers namely, centered polygonal numbers, centered pyramidal numbers, jacobsthal numbers, Lucas numbers and Keynea numbers are presented.

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