On the exponential Diophantine equation

M.A.Gopalan; S.Vidhyalakshmi; S.Mallika

doi:https://doi.org/10.14445/22315373/IJMTT-V4I11P1

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 11 | Year 2013 | Article Id. IJMTT-V4I11P1 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I11P1

On the exponential Diophantine equation

M.A.Gopalan , S.Vidhyalakshmi , S.Mallika

Abstract

The exponential Diophantine equation in four variables given by x y z w is considered and analyzed for finding its non-zero integer solutions for different choices of m and n. A few numerical illustrations are presented for the values of m and n given by ,1) (m,n)  (1,1),(2,2),(2,1),(1,2).A few relations between solutions and the special numbers are also presented.

Keywords

Exponential Diophantine equation, integral solutions.

References

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Citation :

M.A.Gopalan , S.Vidhyalakshmi , S.Mallika, "On the exponential Diophantine equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 11, pp. 247-253, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I11P1